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Finding the Fourth Proportional to 10,429.43, 15,642.92 and 4,189.19

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Solution

The fourth proportional to 10,429.43, 15,642.92 and 4,189.19 is: 6,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.43 : 15,642.92 = 4,189.19 : x
  2. Step 2: Convert to fraction form
    10,429.43/15,642.92 = 4,189.19/x
  3. Step 3: Cross multiply
    10,429.43x = 15,642.92 × 4,189.19
  4. Step 4: Simplify right side
    10,429.43x = 65,531,085.82
  5. Step 5: Solve for x
    x = 65,531,085.82/10,429.43
  6. Step 6: Final answer
    x = 6,283.29

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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.