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Finding the Fourth Proportional to 10,842.16, 14,959.98 and 8,327.10

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Solution

The fourth proportional to 10,842.16, 14,959.98 and 8,327.10 is: 11,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.16 : 14,959.98 = 8,327.10 : x
  2. Step 2: Convert to fraction form
    10,842.16/14,959.98 = 8,327.10/x
  3. Step 3: Cross multiply
    10,842.16x = 14,959.98 × 8,327.10
  4. Step 4: Simplify right side
    10,842.16x = 124,573,249.46
  5. Step 5: Solve for x
    x = 124,573,249.46/10,842.16
  6. Step 6: Final answer
    x = 11,489.71

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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.