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Finding the Fourth Proportional to 10,517.80, 14,517.54 and 7,374.76

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Solution

The fourth proportional to 10,517.80, 14,517.54 and 7,374.76 is: 10,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.80 : 14,517.54 = 7,374.76 : x
  2. Step 2: Convert to fraction form
    10,517.80/14,517.54 = 7,374.76/x
  3. Step 3: Cross multiply
    10,517.80x = 14,517.54 × 7,374.76
  4. Step 4: Simplify right side
    10,517.80x = 107,063,373.29
  5. Step 5: Solve for x
    x = 107,063,373.29/10,517.80
  6. Step 6: Final answer
    x = 10,179.26

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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.