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Finding the Fourth Proportional to 10,047.66, 13,865.71 and 5,572.07

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Solution

The fourth proportional to 10,047.66, 13,865.71 and 5,572.07 is: 7,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.66 : 13,865.71 = 5,572.07 : x
  2. Step 2: Convert to fraction form
    10,047.66/13,865.71 = 5,572.07/x
  3. Step 3: Cross multiply
    10,047.66x = 13,865.71 × 5,572.07
  4. Step 4: Simplify right side
    10,047.66x = 77,260,727.57
  5. Step 5: Solve for x
    x = 77,260,727.57/10,047.66
  6. Step 6: Final answer
    x = 7,689.43

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