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Finding the Fourth Proportional to 10,429.74, 14,394.42 and 5,952.48

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Solution

The fourth proportional to 10,429.74, 14,394.42 and 5,952.48 is: 8,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.74 : 14,394.42 = 5,952.48 : x
  2. Step 2: Convert to fraction form
    10,429.74/14,394.42 = 5,952.48/x
  3. Step 3: Cross multiply
    10,429.74x = 14,394.42 × 5,952.48
  4. Step 4: Simplify right side
    10,429.74x = 85,682,497.16
  5. Step 5: Solve for x
    x = 85,682,497.16/10,429.74
  6. Step 6: Final answer
    x = 8,215.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.