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Finding the Fourth Proportional to 8,439.65, 11,646.48 and 4,662.76

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Solution

The fourth proportional to 8,439.65, 11,646.48 and 4,662.76 is: 6,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.65 : 11,646.48 = 4,662.76 : x
  2. Step 2: Convert to fraction form
    8,439.65/11,646.48 = 4,662.76/x
  3. Step 3: Cross multiply
    8,439.65x = 11,646.48 × 4,662.76
  4. Step 4: Simplify right side
    8,439.65x = 54,304,741.08
  5. Step 5: Solve for x
    x = 54,304,741.08/8,439.65
  6. Step 6: Final answer
    x = 6,434.48

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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.