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Finding the Fourth Proportional to 8,374.52, 12,560.16 and 2,529.76

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Solution

The fourth proportional to 8,374.52, 12,560.16 and 2,529.76 is: 3,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.52 : 12,560.16 = 2,529.76 : x
  2. Step 2: Convert to fraction form
    8,374.52/12,560.16 = 2,529.76/x
  3. Step 3: Cross multiply
    8,374.52x = 12,560.16 × 2,529.76
  4. Step 4: Simplify right side
    8,374.52x = 31,774,190.36
  5. Step 5: Solve for x
    x = 31,774,190.36/8,374.52
  6. Step 6: Final answer
    x = 3,794.15

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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.