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Finding the Fourth Proportional to 10,144.55, 15,191.97 and 8,378.75

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Solution

The fourth proportional to 10,144.55, 15,191.97 and 8,378.75 is: 12,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.55 : 15,191.97 = 8,378.75 : x
  2. Step 2: Convert to fraction form
    10,144.55/15,191.97 = 8,378.75/x
  3. Step 3: Cross multiply
    10,144.55x = 15,191.97 × 8,378.75
  4. Step 4: Simplify right side
    10,144.55x = 127,289,642.68
  5. Step 5: Solve for x
    x = 127,289,642.68/10,144.55
  6. Step 6: Final answer
    x = 12,547.60

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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.