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Finding the Fourth Proportional to 11,102.61, 16,645.65 and 6,719.01

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Solution

The fourth proportional to 11,102.61, 16,645.65 and 6,719.01 is: 10,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.61 : 16,645.65 = 6,719.01 : x
  2. Step 2: Convert to fraction form
    11,102.61/16,645.65 = 6,719.01/x
  3. Step 3: Cross multiply
    11,102.61x = 16,645.65 × 6,719.01
  4. Step 4: Simplify right side
    11,102.61x = 111,842,288.81
  5. Step 5: Solve for x
    x = 111,842,288.81/11,102.61
  6. Step 6: Final answer
    x = 10,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.