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Finding the Fourth Proportional to 10,984.82, 15,159.05 and 5,949.08

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Solution

The fourth proportional to 10,984.82, 15,159.05 and 5,949.08 is: 8,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.82 : 15,159.05 = 5,949.08 : x
  2. Step 2: Convert to fraction form
    10,984.82/15,159.05 = 5,949.08/x
  3. Step 3: Cross multiply
    10,984.82x = 15,159.05 × 5,949.08
  4. Step 4: Simplify right side
    10,984.82x = 90,182,374.79
  5. Step 5: Solve for x
    x = 90,182,374.79/10,984.82
  6. Step 6: Final answer
    x = 8,209.73

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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.