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Finding the Fourth Proportional to 11,708.96, 16,158.69 and 6,404.13

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Solution

The fourth proportional to 11,708.96, 16,158.69 and 6,404.13 is: 8,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.96 : 16,158.69 = 6,404.13 : x
  2. Step 2: Convert to fraction form
    11,708.96/16,158.69 = 6,404.13/x
  3. Step 3: Cross multiply
    11,708.96x = 16,158.69 × 6,404.13
  4. Step 4: Simplify right side
    11,708.96x = 103,482,351.39
  5. Step 5: Solve for x
    x = 103,482,351.39/11,708.96
  6. Step 6: Final answer
    x = 8,837.88

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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.