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Finding the Fourth Proportional to 10,751.76, 16,131.68 and 4,178.32

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Solution

The fourth proportional to 10,751.76, 16,131.68 and 4,178.32 is: 6,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.76 : 16,131.68 = 4,178.32 : x
  2. Step 2: Convert to fraction form
    10,751.76/16,131.68 = 4,178.32/x
  3. Step 3: Cross multiply
    10,751.76x = 16,131.68 × 4,178.32
  4. Step 4: Simplify right side
    10,751.76x = 67,403,321.18
  5. Step 5: Solve for x
    x = 67,403,321.18/10,751.76
  6. Step 6: Final answer
    x = 6,269.05

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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.