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Finding the Fourth Proportional to 11,520.65, 15,898.32 and 6,484.86

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Solution

The fourth proportional to 11,520.65, 15,898.32 and 6,484.86 is: 8,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.65 : 15,898.32 = 6,484.86 : x
  2. Step 2: Convert to fraction form
    11,520.65/15,898.32 = 6,484.86/x
  3. Step 3: Cross multiply
    11,520.65x = 15,898.32 × 6,484.86
  4. Step 4: Simplify right side
    11,520.65x = 103,098,379.44
  5. Step 5: Solve for x
    x = 103,098,379.44/11,520.65
  6. Step 6: Final answer
    x = 8,949.01

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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.