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Finding the Fourth Proportional to 10,179.59, 15,265.78 and 4,842.14

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Solution

The fourth proportional to 10,179.59, 15,265.78 and 4,842.14 is: 7,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.59 : 15,265.78 = 4,842.14 : x
  2. Step 2: Convert to fraction form
    10,179.59/15,265.78 = 4,842.14/x
  3. Step 3: Cross multiply
    10,179.59x = 15,265.78 × 4,842.14
  4. Step 4: Simplify right side
    10,179.59x = 73,919,043.97
  5. Step 5: Solve for x
    x = 73,919,043.97/10,179.59
  6. Step 6: Final answer
    x = 7,261.50

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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.