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Finding the Fourth Proportional to 11,802.92, 16,301.50 and 8,019.76

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Solution

The fourth proportional to 11,802.92, 16,301.50 and 8,019.76 is: 11,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.92 : 16,301.50 = 8,019.76 : x
  2. Step 2: Convert to fraction form
    11,802.92/16,301.50 = 8,019.76/x
  3. Step 3: Cross multiply
    11,802.92x = 16,301.50 × 8,019.76
  4. Step 4: Simplify right side
    11,802.92x = 130,734,132.51
  5. Step 5: Solve for x
    x = 130,734,132.51/11,802.92
  6. Step 6: Final answer
    x = 11,076.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.