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Finding the Fourth Proportional to 10,102, 15,153.54 and 3,177.04

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Solution

The fourth proportional to 10,102, 15,153.54 and 3,177.04 is: 4,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102 : 15,153.54 = 3,177.04 : x
  2. Step 2: Convert to fraction form
    10,102/15,153.54 = 3,177.04/x
  3. Step 3: Cross multiply
    10,102x = 15,153.54 × 3,177.04
  4. Step 4: Simplify right side
    10,102x = 48,143,402.72
  5. Step 5: Solve for x
    x = 48,143,402.72/10,102
  6. Step 6: Final answer
    x = 4,765.73

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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.