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Finding the Fourth Proportional to 8,277.60, 12,417.01 and 2,434.47

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Solution

The fourth proportional to 8,277.60, 12,417.01 and 2,434.47 is: 3,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.60 : 12,417.01 = 2,434.47 : x
  2. Step 2: Convert to fraction form
    8,277.60/12,417.01 = 2,434.47/x
  3. Step 3: Cross multiply
    8,277.60x = 12,417.01 × 2,434.47
  4. Step 4: Simplify right side
    8,277.60x = 30,228,799.38
  5. Step 5: Solve for x
    x = 30,228,799.38/8,277.60
  6. Step 6: Final answer
    x = 3,651.88

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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.