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Finding the Fourth Proportional to 11,492.38, 15,861.20 and 7,018.72

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Solution

The fourth proportional to 11,492.38, 15,861.20 and 7,018.72 is: 9,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.38 : 15,861.20 = 7,018.72 : x
  2. Step 2: Convert to fraction form
    11,492.38/15,861.20 = 7,018.72/x
  3. Step 3: Cross multiply
    11,492.38x = 15,861.20 × 7,018.72
  4. Step 4: Simplify right side
    11,492.38x = 111,325,321.66
  5. Step 5: Solve for x
    x = 111,325,321.66/11,492.38
  6. Step 6: Final answer
    x = 9,686.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.