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Finding the Fourth Proportional to 8,642.38, 12,964.83 and 4,260.10

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Solution

The fourth proportional to 8,642.38, 12,964.83 and 4,260.10 is: 6,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.38 : 12,964.83 = 4,260.10 : x
  2. Step 2: Convert to fraction form
    8,642.38/12,964.83 = 4,260.10/x
  3. Step 3: Cross multiply
    8,642.38x = 12,964.83 × 4,260.10
  4. Step 4: Simplify right side
    8,642.38x = 55,231,472.28
  5. Step 5: Solve for x
    x = 55,231,472.28/8,642.38
  6. Step 6: Final answer
    x = 6,390.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.