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Finding the Fourth Proportional to 10,375.68, 14,315.76 and 6,180.96

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Solution

The fourth proportional to 10,375.68, 14,315.76 and 6,180.96 is: 8,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.68 : 14,315.76 = 6,180.96 : x
  2. Step 2: Convert to fraction form
    10,375.68/14,315.76 = 6,180.96/x
  3. Step 3: Cross multiply
    10,375.68x = 14,315.76 × 6,180.96
  4. Step 4: Simplify right side
    10,375.68x = 88,485,139.93
  5. Step 5: Solve for x
    x = 88,485,139.93/10,375.68
  6. Step 6: Final answer
    x = 8,528.13

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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.