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Finding the Fourth Proportional to 27,029.76, 40,543.68 and 7,311.36

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Solution

The fourth proportional to 27,029.76, 40,543.68 and 7,311.36 is: 10,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.76 : 40,543.68 = 7,311.36 : x
  2. Step 2: Convert to fraction form
    27,029.76/40,543.68 = 7,311.36/x
  3. Step 3: Cross multiply
    27,029.76x = 40,543.68 × 7,311.36
  4. Step 4: Simplify right side
    27,029.76x = 296,429,440.20
  5. Step 5: Solve for x
    x = 296,429,440.20/27,029.76
  6. Step 6: Final answer
    x = 10,966.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.