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Finding the Fourth Proportional to 10,143.80, 15,190.85 and 8,378.00

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Solution

The fourth proportional to 10,143.80, 15,190.85 and 8,378.00 is: 12,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.80 : 15,190.85 = 8,378.00 : x
  2. Step 2: Convert to fraction form
    10,143.80/15,190.85 = 8,378.00/x
  3. Step 3: Cross multiply
    10,143.80x = 15,190.85 × 8,378.00
  4. Step 4: Simplify right side
    10,143.80x = 127,268,886.29
  5. Step 5: Solve for x
    x = 127,268,886.29/10,143.80
  6. Step 6: Final answer
    x = 12,546.48

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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.