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Finding the Fourth Proportional to 6,007.28, 8,277.84 and 4,654.76

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Solution

The fourth proportional to 6,007.28, 8,277.84 and 4,654.76 is: 6,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.28 : 8,277.84 = 4,654.76 : x
  2. Step 2: Convert to fraction form
    6,007.28/8,277.84 = 4,654.76/x
  3. Step 3: Cross multiply
    6,007.28x = 8,277.84 × 4,654.76
  4. Step 4: Simplify right side
    6,007.28x = 38,531,358.52
  5. Step 5: Solve for x
    x = 38,531,358.52/6,007.28
  6. Step 6: Final answer
    x = 6,414.11

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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.