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Finding the Fourth Proportional to 10,361.12, 15,548.70 and 3,787.70

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Solution

The fourth proportional to 10,361.12, 15,548.70 and 3,787.70 is: 5,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.12 : 15,548.70 = 3,787.70 : x
  2. Step 2: Convert to fraction form
    10,361.12/15,548.70 = 3,787.70/x
  3. Step 3: Cross multiply
    10,361.12x = 15,548.70 × 3,787.70
  4. Step 4: Simplify right side
    10,361.12x = 58,893,810.99
  5. Step 5: Solve for x
    x = 58,893,810.99/10,361.12
  6. Step 6: Final answer
    x = 5,684.12

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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.