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Finding the Fourth Proportional to 10,429.31, 14,392.31 and 5,713.61

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Solution

The fourth proportional to 10,429.31, 14,392.31 and 5,713.61 is: 7,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.31 : 14,392.31 = 5,713.61 : x
  2. Step 2: Convert to fraction form
    10,429.31/14,392.31 = 5,713.61/x
  3. Step 3: Cross multiply
    10,429.31x = 14,392.31 × 5,713.61
  4. Step 4: Simplify right side
    10,429.31x = 82,231,945.81
  5. Step 5: Solve for x
    x = 82,231,945.81/10,429.31
  6. Step 6: Final answer
    x = 7,884.69

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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.