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Finding the Fourth Proportional to 10,984.91, 15,159.25 and 5,949.14

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Solution

The fourth proportional to 10,984.91, 15,159.25 and 5,949.14 is: 8,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.91 : 15,159.25 = 5,949.14 : x
  2. Step 2: Convert to fraction form
    10,984.91/15,159.25 = 5,949.14/x
  3. Step 3: Cross multiply
    10,984.91x = 15,159.25 × 5,949.14
  4. Step 4: Simplify right side
    10,984.91x = 90,184,409.88
  5. Step 5: Solve for x
    x = 90,184,409.88/10,984.91
  6. Step 6: Final answer
    x = 8,209.85

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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.