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Finding the Fourth Proportional to 10,704.29, 16,059.67 and 7,590.31

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Solution

The fourth proportional to 10,704.29, 16,059.67 and 7,590.31 is: 11,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.29 : 16,059.67 = 7,590.31 : x
  2. Step 2: Convert to fraction form
    10,704.29/16,059.67 = 7,590.31/x
  3. Step 3: Cross multiply
    10,704.29x = 16,059.67 × 7,590.31
  4. Step 4: Simplify right side
    10,704.29x = 121,897,814.67
  5. Step 5: Solve for x
    x = 121,897,814.67/10,704.29
  6. Step 6: Final answer
    x = 11,387.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.