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Finding the Fourth Proportional to 26,882.32, 40,315.28 and 7,158.32

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Solution

The fourth proportional to 26,882.32, 40,315.28 and 7,158.32 is: 10,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882.32 : 40,315.28 = 7,158.32 : x
  2. Step 2: Convert to fraction form
    26,882.32/40,315.28 = 7,158.32/x
  3. Step 3: Cross multiply
    26,882.32x = 40,315.28 × 7,158.32
  4. Step 4: Simplify right side
    26,882.32x = 288,589,437.76
  5. Step 5: Solve for x
    x = 288,589,437.76/26,882.32
  6. Step 6: Final answer
    x = 10,735.29

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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.