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Finding the Fourth Proportional to 10,506.88, 15,761.52 and 3,487.84

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Solution

The fourth proportional to 10,506.88, 15,761.52 and 3,487.84 is: 5,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.88 : 15,761.52 = 3,487.84 : x
  2. Step 2: Convert to fraction form
    10,506.88/15,761.52 = 3,487.84/x
  3. Step 3: Cross multiply
    10,506.88x = 15,761.52 × 3,487.84
  4. Step 4: Simplify right side
    10,506.88x = 54,973,659.92
  5. Step 5: Solve for x
    x = 54,973,659.92/10,506.88
  6. Step 6: Final answer
    x = 5,232.16

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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.