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Finding the Fourth Proportional to 6,767.60, 10,151.28 and 3,478.76

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Solution

The fourth proportional to 6,767.60, 10,151.28 and 3,478.76 is: 5,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.60 : 10,151.28 = 3,478.76 : x
  2. Step 2: Convert to fraction form
    6,767.60/10,151.28 = 3,478.76/x
  3. Step 3: Cross multiply
    6,767.60x = 10,151.28 × 3,478.76
  4. Step 4: Simplify right side
    6,767.60x = 35,313,866.81
  5. Step 5: Solve for x
    x = 35,313,866.81/6,767.60
  6. Step 6: Final answer
    x = 5,218.08

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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.