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Finding the Fourth Proportional to 10,655.40, 14,704.17 and 6,117.96

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Solution

The fourth proportional to 10,655.40, 14,704.17 and 6,117.96 is: 8,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.40 : 14,704.17 = 6,117.96 : x
  2. Step 2: Convert to fraction form
    10,655.40/14,704.17 = 6,117.96/x
  3. Step 3: Cross multiply
    10,655.40x = 14,704.17 × 6,117.96
  4. Step 4: Simplify right side
    10,655.40x = 89,959,523.89
  5. Step 5: Solve for x
    x = 89,959,523.89/10,655.40
  6. Step 6: Final answer
    x = 8,442.62

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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.