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Finding the Fourth Proportional to 8,280.76, 11,425.80 and 5,294.32

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Solution

The fourth proportional to 8,280.76, 11,425.80 and 5,294.32 is: 7,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.76 : 11,425.80 = 5,294.32 : x
  2. Step 2: Convert to fraction form
    8,280.76/11,425.80 = 5,294.32/x
  3. Step 3: Cross multiply
    8,280.76x = 11,425.80 × 5,294.32
  4. Step 4: Simplify right side
    8,280.76x = 60,491,841.46
  5. Step 5: Solve for x
    x = 60,491,841.46/8,280.76
  6. Step 6: Final answer
    x = 7,305.11

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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.