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Finding the Fourth Proportional to 10,357.71, 14,292.96 and 6,108.57

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Solution

The fourth proportional to 10,357.71, 14,292.96 and 6,108.57 is: 8,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.71 : 14,292.96 = 6,108.57 : x
  2. Step 2: Convert to fraction form
    10,357.71/14,292.96 = 6,108.57/x
  3. Step 3: Cross multiply
    10,357.71x = 14,292.96 × 6,108.57
  4. Step 4: Simplify right side
    10,357.71x = 87,309,546.67
  5. Step 5: Solve for x
    x = 87,309,546.67/10,357.71
  6. Step 6: Final answer
    x = 8,429.43

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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.