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Finding the Fourth Proportional to 8,374.68, 12,562.02 and 2,530.98

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Solution

The fourth proportional to 8,374.68, 12,562.02 and 2,530.98 is: 3,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.68 : 12,562.02 = 2,530.98 : x
  2. Step 2: Convert to fraction form
    8,374.68/12,562.02 = 2,530.98/x
  3. Step 3: Cross multiply
    8,374.68x = 12,562.02 × 2,530.98
  4. Step 4: Simplify right side
    8,374.68x = 31,794,221.38
  5. Step 5: Solve for x
    x = 31,794,221.38/8,374.68
  6. Step 6: Final answer
    x = 3,796.47

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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.