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Finding the Fourth Proportional to 11,657.26, 17,491.35 and 5,814.32

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Solution

The fourth proportional to 11,657.26, 17,491.35 and 5,814.32 is: 8,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.26 : 17,491.35 = 5,814.32 : x
  2. Step 2: Convert to fraction form
    11,657.26/17,491.35 = 5,814.32/x
  3. Step 3: Cross multiply
    11,657.26x = 17,491.35 × 5,814.32
  4. Step 4: Simplify right side
    11,657.26x = 101,700,306.13
  5. Step 5: Solve for x
    x = 101,700,306.13/11,657.26
  6. Step 6: Final answer
    x = 8,724.20

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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.