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Finding the Fourth Proportional to 10,325, 15,487.32 and 3,304.96

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Solution

The fourth proportional to 10,325, 15,487.32 and 3,304.96 is: 4,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325 : 15,487.32 = 3,304.96 : x
  2. Step 2: Convert to fraction form
    10,325/15,487.32 = 3,304.96/x
  3. Step 3: Cross multiply
    10,325x = 15,487.32 × 3,304.96
  4. Step 4: Simplify right side
    10,325x = 51,184,973.11
  5. Step 5: Solve for x
    x = 51,184,973.11/10,325
  6. Step 6: Final answer
    x = 4,957.38

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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.