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Finding the Fourth Proportional to 10,521.96, 15,775.62 and 5,324.28

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Solution

The fourth proportional to 10,521.96, 15,775.62 and 5,324.28 is: 7,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.96 : 15,775.62 = 5,324.28 : x
  2. Step 2: Convert to fraction form
    10,521.96/15,775.62 = 5,324.28/x
  3. Step 3: Cross multiply
    10,521.96x = 15,775.62 × 5,324.28
  4. Step 4: Simplify right side
    10,521.96x = 83,993,818.05
  5. Step 5: Solve for x
    x = 83,993,818.05/10,521.96
  6. Step 6: Final answer
    x = 7,982.72

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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.