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Finding the Fourth Proportional to 8,590.86, 11,856.15 and 5,232.87

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Solution

The fourth proportional to 8,590.86, 11,856.15 and 5,232.87 is: 7,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.86 : 11,856.15 = 5,232.87 : x
  2. Step 2: Convert to fraction form
    8,590.86/11,856.15 = 5,232.87/x
  3. Step 3: Cross multiply
    8,590.86x = 11,856.15 × 5,232.87
  4. Step 4: Simplify right side
    8,590.86x = 62,041,691.65
  5. Step 5: Solve for x
    x = 62,041,691.65/8,590.86
  6. Step 6: Final answer
    x = 7,221.83

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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.