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Finding the Fourth Proportional to 8,406.16, 11,606.68 and 5,423.74

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Solution

The fourth proportional to 8,406.16, 11,606.68 and 5,423.74 is: 7,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.16 : 11,606.68 = 5,423.74 : x
  2. Step 2: Convert to fraction form
    8,406.16/11,606.68 = 5,423.74/x
  3. Step 3: Cross multiply
    8,406.16x = 11,606.68 × 5,423.74
  4. Step 4: Simplify right side
    8,406.16x = 62,951,614.58
  5. Step 5: Solve for x
    x = 62,951,614.58/8,406.16
  6. Step 6: Final answer
    x = 7,488.75

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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.