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Finding the Fourth Proportional to 8,248.74, 11,382.14 and 4,663.68

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Solution

The fourth proportional to 8,248.74, 11,382.14 and 4,663.68 is: 6,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.74 : 11,382.14 = 4,663.68 : x
  2. Step 2: Convert to fraction form
    8,248.74/11,382.14 = 4,663.68/x
  3. Step 3: Cross multiply
    8,248.74x = 11,382.14 × 4,663.68
  4. Step 4: Simplify right side
    8,248.74x = 53,082,658.68
  5. Step 5: Solve for x
    x = 53,082,658.68/8,248.74
  6. Step 6: Final answer
    x = 6,435.24

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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.