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Finding the Fourth Proportional to 10,425.80, 14,387.06 and 5,709.17

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Solution

The fourth proportional to 10,425.80, 14,387.06 and 5,709.17 is: 7,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.80 : 14,387.06 = 5,709.17 : x
  2. Step 2: Convert to fraction form
    10,425.80/14,387.06 = 5,709.17/x
  3. Step 3: Cross multiply
    10,425.80x = 14,387.06 × 5,709.17
  4. Step 4: Simplify right side
    10,425.80x = 82,138,070.86
  5. Step 5: Solve for x
    x = 82,138,070.86/10,425.80
  6. Step 6: Final answer
    x = 7,878.35

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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.