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Finding the Fourth Proportional to 10,566.53, 15,826.43 and 7,226.87

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Solution

The fourth proportional to 10,566.53, 15,826.43 and 7,226.87 is: 10,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.53 : 15,826.43 = 7,226.87 : x
  2. Step 2: Convert to fraction form
    10,566.53/15,826.43 = 7,226.87/x
  3. Step 3: Cross multiply
    10,566.53x = 15,826.43 × 7,226.87
  4. Step 4: Simplify right side
    10,566.53x = 114,375,436.91
  5. Step 5: Solve for x
    x = 114,375,436.91/10,566.53
  6. Step 6: Final answer
    x = 10,824.32

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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.