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Finding the Fourth Proportional to 10,153.68, 15,234.12 and 7,959.12

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Solution

The fourth proportional to 10,153.68, 15,234.12 and 7,959.12 is: 11,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.68 : 15,234.12 = 7,959.12 : x
  2. Step 2: Convert to fraction form
    10,153.68/15,234.12 = 7,959.12/x
  3. Step 3: Cross multiply
    10,153.68x = 15,234.12 × 7,959.12
  4. Step 4: Simplify right side
    10,153.68x = 121,250,189.17
  5. Step 5: Solve for x
    x = 121,250,189.17/10,153.68
  6. Step 6: Final answer
    x = 11,941.50

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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.