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Finding the Fourth Proportional to 8,705.28, 13,059.20 and 2,549.76

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Solution

The fourth proportional to 8,705.28, 13,059.20 and 2,549.76 is: 3,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.28 : 13,059.20 = 2,549.76 : x
  2. Step 2: Convert to fraction form
    8,705.28/13,059.20 = 2,549.76/x
  3. Step 3: Cross multiply
    8,705.28x = 13,059.20 × 2,549.76
  4. Step 4: Simplify right side
    8,705.28x = 33,297,825.79
  5. Step 5: Solve for x
    x = 33,297,825.79/8,705.28
  6. Step 6: Final answer
    x = 3,825.01

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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.