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Finding the Fourth Proportional to 6,775.53, 10,165.77 and 3,490.17

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Solution

The fourth proportional to 6,775.53, 10,165.77 and 3,490.17 is: 5,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.53 : 10,165.77 = 3,490.17 : x
  2. Step 2: Convert to fraction form
    6,775.53/10,165.77 = 3,490.17/x
  3. Step 3: Cross multiply
    6,775.53x = 10,165.77 × 3,490.17
  4. Step 4: Simplify right side
    6,775.53x = 35,480,265.48
  5. Step 5: Solve for x
    x = 35,480,265.48/6,775.53
  6. Step 6: Final answer
    x = 5,236.53

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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.