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Finding the Fourth Proportional to 10,738.29, 14,836.66 and 8,486.88

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Solution

The fourth proportional to 10,738.29, 14,836.66 and 8,486.88 is: 11,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.29 : 14,836.66 = 8,486.88 : x
  2. Step 2: Convert to fraction form
    10,738.29/14,836.66 = 8,486.88/x
  3. Step 3: Cross multiply
    10,738.29x = 14,836.66 × 8,486.88
  4. Step 4: Simplify right side
    10,738.29x = 125,916,864.23
  5. Step 5: Solve for x
    x = 125,916,864.23/10,738.29
  6. Step 6: Final answer
    x = 11,725.97

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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.