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Finding the Fourth Proportional to 10,280.55, 14,167.71 and 7,443.12

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Solution

The fourth proportional to 10,280.55, 14,167.71 and 7,443.12 is: 10,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.55 : 14,167.71 = 7,443.12 : x
  2. Step 2: Convert to fraction form
    10,280.55/14,167.71 = 7,443.12/x
  3. Step 3: Cross multiply
    10,280.55x = 14,167.71 × 7,443.12
  4. Step 4: Simplify right side
    10,280.55x = 105,451,965.66
  5. Step 5: Solve for x
    x = 105,451,965.66/10,280.55
  6. Step 6: Final answer
    x = 10,257.42

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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.