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Finding the Fourth Proportional to 10,842.95, 16,251.47 and 5,580.48

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Solution

The fourth proportional to 10,842.95, 16,251.47 and 5,580.48 is: 8,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.95 : 16,251.47 = 5,580.48 : x
  2. Step 2: Convert to fraction form
    10,842.95/16,251.47 = 5,580.48/x
  3. Step 3: Cross multiply
    10,842.95x = 16,251.47 × 5,580.48
  4. Step 4: Simplify right side
    10,842.95x = 90,690,975.40
  5. Step 5: Solve for x
    x = 90,690,975.40/10,842.95
  6. Step 6: Final answer
    x = 8,364.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.