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Finding the Fourth Proportional to 6,765.41, 10,140.71 and 3,478.68

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Solution

The fourth proportional to 6,765.41, 10,140.71 and 3,478.68 is: 5,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.41 : 10,140.71 = 3,478.68 : x
  2. Step 2: Convert to fraction form
    6,765.41/10,140.71 = 3,478.68/x
  3. Step 3: Cross multiply
    6,765.41x = 10,140.71 × 3,478.68
  4. Step 4: Simplify right side
    6,765.41x = 35,276,267.67
  5. Step 5: Solve for x
    x = 35,276,267.67/6,765.41
  6. Step 6: Final answer
    x = 5,214.21

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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.