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Finding the Fourth Proportional to 10,226.80, 15,343.80 and 5,029.20

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Solution

The fourth proportional to 10,226.80, 15,343.80 and 5,029.20 is: 7,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.80 : 15,343.80 = 5,029.20 : x
  2. Step 2: Convert to fraction form
    10,226.80/15,343.80 = 5,029.20/x
  3. Step 3: Cross multiply
    10,226.80x = 15,343.80 × 5,029.20
  4. Step 4: Simplify right side
    10,226.80x = 77,167,038.96
  5. Step 5: Solve for x
    x = 77,167,038.96/10,226.80
  6. Step 6: Final answer
    x = 7,545.57

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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.