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Finding the Fourth Proportional to 10,984.14, 15,159.69 and 8,327.07

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Solution

The fourth proportional to 10,984.14, 15,159.69 and 8,327.07 is: 11,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.14 : 15,159.69 = 8,327.07 : x
  2. Step 2: Convert to fraction form
    10,984.14/15,159.69 = 8,327.07/x
  3. Step 3: Cross multiply
    10,984.14x = 15,159.69 × 8,327.07
  4. Step 4: Simplify right side
    10,984.14x = 126,235,799.81
  5. Step 5: Solve for x
    x = 126,235,799.81/10,984.14
  6. Step 6: Final answer
    x = 11,492.55

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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.