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Finding the Fourth Proportional to 10,380.27, 15,570.02 and 5,702.47

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Solution

The fourth proportional to 10,380.27, 15,570.02 and 5,702.47 is: 8,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.27 : 15,570.02 = 5,702.47 : x
  2. Step 2: Convert to fraction form
    10,380.27/15,570.02 = 5,702.47/x
  3. Step 3: Cross multiply
    10,380.27x = 15,570.02 × 5,702.47
  4. Step 4: Simplify right side
    10,380.27x = 88,787,547.28
  5. Step 5: Solve for x
    x = 88,787,547.28/10,380.27
  6. Step 6: Final answer
    x = 8,553.49

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