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Finding the Fourth Proportional to 7,283.16, 10,909.20 and 5,331

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Solution

The fourth proportional to 7,283.16, 10,909.20 and 5,331 is: 7,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.16 : 10,909.20 = 5,331 : x
  2. Step 2: Convert to fraction form
    7,283.16/10,909.20 = 5,331/x
  3. Step 3: Cross multiply
    7,283.16x = 10,909.20 × 5,331
  4. Step 4: Simplify right side
    7,283.16x = 58,156,945.20
  5. Step 5: Solve for x
    x = 58,156,945.20/7,283.16
  6. Step 6: Final answer
    x = 7,985.13

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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.