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Finding the Fourth Proportional to 8,374.64, 12,564.24 and 3,447.76

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Solution

The fourth proportional to 8,374.64, 12,564.24 and 3,447.76 is: 5,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.64 : 12,564.24 = 3,447.76 : x
  2. Step 2: Convert to fraction form
    8,374.64/12,564.24 = 3,447.76/x
  3. Step 3: Cross multiply
    8,374.64x = 12,564.24 × 3,447.76
  4. Step 4: Simplify right side
    8,374.64x = 43,318,484.10
  5. Step 5: Solve for x
    x = 43,318,484.10/8,374.64
  6. Step 6: Final answer
    x = 5,172.58

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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.