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Finding the Fourth Proportional to 10,361.52, 15,542.28 and 3,787.76

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Solution

The fourth proportional to 10,361.52, 15,542.28 and 3,787.76 is: 5,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.52 : 15,542.28 = 3,787.76 : x
  2. Step 2: Convert to fraction form
    10,361.52/15,542.28 = 3,787.76/x
  3. Step 3: Cross multiply
    10,361.52x = 15,542.28 × 3,787.76
  4. Step 4: Simplify right side
    10,361.52x = 58,870,465.35
  5. Step 5: Solve for x
    x = 58,870,465.35/10,361.52
  6. Step 6: Final answer
    x = 5,681.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.