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Finding the Fourth Proportional to 7,254.78, 10,000.71 and 5,680.14

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Solution

The fourth proportional to 7,254.78, 10,000.71 and 5,680.14 is: 7,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.78 : 10,000.71 = 5,680.14 : x
  2. Step 2: Convert to fraction form
    7,254.78/10,000.71 = 5,680.14/x
  3. Step 3: Cross multiply
    7,254.78x = 10,000.71 × 5,680.14
  4. Step 4: Simplify right side
    7,254.78x = 56,805,432.90
  5. Step 5: Solve for x
    x = 56,805,432.90/7,254.78
  6. Step 6: Final answer
    x = 7,830.07

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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.