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Finding the Fourth Proportional to 10,655.30, 14,704.31 and 5,939.58

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Solution

The fourth proportional to 10,655.30, 14,704.31 and 5,939.58 is: 8,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.30 : 14,704.31 = 5,939.58 : x
  2. Step 2: Convert to fraction form
    10,655.30/14,704.31 = 5,939.58/x
  3. Step 3: Cross multiply
    10,655.30x = 14,704.31 × 5,939.58
  4. Step 4: Simplify right side
    10,655.30x = 87,337,396.16
  5. Step 5: Solve for x
    x = 87,337,396.16/10,655.30
  6. Step 6: Final answer
    x = 8,196.62

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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.