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Finding the Fourth Proportional to 11,802.83, 17,691.85 and 5,947.16

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Solution

The fourth proportional to 11,802.83, 17,691.85 and 5,947.16 is: 8,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.83 : 17,691.85 = 5,947.16 : x
  2. Step 2: Convert to fraction form
    11,802.83/17,691.85 = 5,947.16/x
  3. Step 3: Cross multiply
    11,802.83x = 17,691.85 × 5,947.16
  4. Step 4: Simplify right side
    11,802.83x = 105,216,292.01
  5. Step 5: Solve for x
    x = 105,216,292.01/11,802.83
  6. Step 6: Final answer
    x = 8,914.50

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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.