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Finding the Fourth Proportional to 10,582.64, 15,872.84 and 4,343.31

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Solution

The fourth proportional to 10,582.64, 15,872.84 and 4,343.31 is: 6,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.64 : 15,872.84 = 4,343.31 : x
  2. Step 2: Convert to fraction form
    10,582.64/15,872.84 = 4,343.31/x
  3. Step 3: Cross multiply
    10,582.64x = 15,872.84 × 4,343.31
  4. Step 4: Simplify right side
    10,582.64x = 68,940,675.56
  5. Step 5: Solve for x
    x = 68,940,675.56/10,582.64
  6. Step 6: Final answer
    x = 6,514.51

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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.