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Finding the Fourth Proportional to 10,176.96, 15,253.12 and 5,243.90

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Solution

The fourth proportional to 10,176.96, 15,253.12 and 5,243.90 is: 7,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.96 : 15,253.12 = 5,243.90 : x
  2. Step 2: Convert to fraction form
    10,176.96/15,253.12 = 5,243.90/x
  3. Step 3: Cross multiply
    10,176.96x = 15,253.12 × 5,243.90
  4. Step 4: Simplify right side
    10,176.96x = 79,985,835.97
  5. Step 5: Solve for x
    x = 79,985,835.97/10,176.96
  6. Step 6: Final answer
    x = 7,859.50

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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.