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Finding the Fourth Proportional to 7,204.34, 10,787.03 and 3,734.30

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Solution

The fourth proportional to 7,204.34, 10,787.03 and 3,734.30 is: 5,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.34 : 10,787.03 = 3,734.30 : x
  2. Step 2: Convert to fraction form
    7,204.34/10,787.03 = 3,734.30/x
  3. Step 3: Cross multiply
    7,204.34x = 10,787.03 × 3,734.30
  4. Step 4: Simplify right side
    7,204.34x = 40,281,987.46
  5. Step 5: Solve for x
    x = 40,281,987.46/7,204.34
  6. Step 6: Final answer
    x = 5,591.35

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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.