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Finding the Fourth Proportional to 10,156.92, 15,235.22 and 7,401.08

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Solution

The fourth proportional to 10,156.92, 15,235.22 and 7,401.08 is: 11,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.92 : 15,235.22 = 7,401.08 : x
  2. Step 2: Convert to fraction form
    10,156.92/15,235.22 = 7,401.08/x
  3. Step 3: Cross multiply
    10,156.92x = 15,235.22 × 7,401.08
  4. Step 4: Simplify right side
    10,156.92x = 112,757,082.04
  5. Step 5: Solve for x
    x = 112,757,082.04/10,156.92
  6. Step 6: Final answer
    x = 11,101.50

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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.