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Finding the Fourth Proportional to 11,428.02, 15,766.92 and 6,711.39

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Solution

The fourth proportional to 11,428.02, 15,766.92 and 6,711.39 is: 9,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.02 : 15,766.92 = 6,711.39 : x
  2. Step 2: Convert to fraction form
    11,428.02/15,766.92 = 6,711.39/x
  3. Step 3: Cross multiply
    11,428.02x = 15,766.92 × 6,711.39
  4. Step 4: Simplify right side
    11,428.02x = 105,817,949.22
  5. Step 5: Solve for x
    x = 105,817,949.22/11,428.02
  6. Step 6: Final answer
    x = 9,259.52

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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.