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Finding the Fourth Proportional to 11,516.68, 15,893.45 and 6,412.65

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Solution

The fourth proportional to 11,516.68, 15,893.45 and 6,412.65 is: 8,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.68 : 15,893.45 = 6,412.65 : x
  2. Step 2: Convert to fraction form
    11,516.68/15,893.45 = 6,412.65/x
  3. Step 3: Cross multiply
    11,516.68x = 15,893.45 × 6,412.65
  4. Step 4: Simplify right side
    11,516.68x = 101,919,153.93
  5. Step 5: Solve for x
    x = 101,919,153.93/11,516.68
  6. Step 6: Final answer
    x = 8,849.70

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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.