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Finding the Fourth Proportional to 8,712.64, 13,069.44 and 2,557.12

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Solution

The fourth proportional to 8,712.64, 13,069.44 and 2,557.12 is: 3,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.64 : 13,069.44 = 2,557.12 : x
  2. Step 2: Convert to fraction form
    8,712.64/13,069.44 = 2,557.12/x
  3. Step 3: Cross multiply
    8,712.64x = 13,069.44 × 2,557.12
  4. Step 4: Simplify right side
    8,712.64x = 33,420,126.41
  5. Step 5: Solve for x
    x = 33,420,126.41/8,712.64
  6. Step 6: Final answer
    x = 3,835.82

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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.