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Finding the Fourth Proportional to 10,124.68, 13,971.72 and 5,932.84

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Solution

The fourth proportional to 10,124.68, 13,971.72 and 5,932.84 is: 8,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.68 : 13,971.72 = 5,932.84 : x
  2. Step 2: Convert to fraction form
    10,124.68/13,971.72 = 5,932.84/x
  3. Step 3: Cross multiply
    10,124.68x = 13,971.72 × 5,932.84
  4. Step 4: Simplify right side
    10,124.68x = 82,891,979.28
  5. Step 5: Solve for x
    x = 82,891,979.28/10,124.68
  6. Step 6: Final answer
    x = 8,187.12

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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.