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Finding the Fourth Proportional to 10,851.96, 14,976.14 and 6,375.68

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Solution

The fourth proportional to 10,851.96, 14,976.14 and 6,375.68 is: 8,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.96 : 14,976.14 = 6,375.68 : x
  2. Step 2: Convert to fraction form
    10,851.96/14,976.14 = 6,375.68/x
  3. Step 3: Cross multiply
    10,851.96x = 14,976.14 × 6,375.68
  4. Step 4: Simplify right side
    10,851.96x = 95,482,969.52
  5. Step 5: Solve for x
    x = 95,482,969.52/10,851.96
  6. Step 6: Final answer
    x = 8,798.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.