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Finding the Fourth Proportional to 11,565.57, 17,339.72 and 5,408.13

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Solution

The fourth proportional to 11,565.57, 17,339.72 and 5,408.13 is: 8,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.57 : 17,339.72 = 5,408.13 : x
  2. Step 2: Convert to fraction form
    11,565.57/17,339.72 = 5,408.13/x
  3. Step 3: Cross multiply
    11,565.57x = 17,339.72 × 5,408.13
  4. Step 4: Simplify right side
    11,565.57x = 93,775,432.88
  5. Step 5: Solve for x
    x = 93,775,432.88/11,565.57
  6. Step 6: Final answer
    x = 8,108.15

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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.