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Finding the Fourth Proportional to 10,086, 15,129 and 3,160.50

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Solution

The fourth proportional to 10,086, 15,129 and 3,160.50 is: 4,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 15,129 = 3,160.50 : x
  2. Step 2: Convert to fraction form
    10,086/15,129 = 3,160.50/x
  3. Step 3: Cross multiply
    10,086x = 15,129 × 3,160.50
  4. Step 4: Simplify right side
    10,086x = 47,815,204.50
  5. Step 5: Solve for x
    x = 47,815,204.50/10,086
  6. Step 6: Final answer
    x = 4,740.75

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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.