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Finding the Fourth Proportional to 10,769.66, 14,862.32 and 5,924.61

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Solution

The fourth proportional to 10,769.66, 14,862.32 and 5,924.61 is: 8,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.66 : 14,862.32 = 5,924.61 : x
  2. Step 2: Convert to fraction form
    10,769.66/14,862.32 = 5,924.61/x
  3. Step 3: Cross multiply
    10,769.66x = 14,862.32 × 5,924.61
  4. Step 4: Simplify right side
    10,769.66x = 88,053,449.70
  5. Step 5: Solve for x
    x = 88,053,449.70/10,769.66
  6. Step 6: Final answer
    x = 8,176.07

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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.