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Finding the Fourth Proportional to 10,818.29, 14,931.95 and 6,105.31

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Solution

The fourth proportional to 10,818.29, 14,931.95 and 6,105.31 is: 8,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.29 : 14,931.95 = 6,105.31 : x
  2. Step 2: Convert to fraction form
    10,818.29/14,931.95 = 6,105.31/x
  3. Step 3: Cross multiply
    10,818.29x = 14,931.95 × 6,105.31
  4. Step 4: Simplify right side
    10,818.29x = 91,164,183.65
  5. Step 5: Solve for x
    x = 91,164,183.65/10,818.29
  6. Step 6: Final answer
    x = 8,426.86

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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.