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Finding the Fourth Proportional to 6,905.40, 10,360.98 and 5,517.24

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Solution

The fourth proportional to 6,905.40, 10,360.98 and 5,517.24 is: 8,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.40 : 10,360.98 = 5,517.24 : x
  2. Step 2: Convert to fraction form
    6,905.40/10,360.98 = 5,517.24/x
  3. Step 3: Cross multiply
    6,905.40x = 10,360.98 × 5,517.24
  4. Step 4: Simplify right side
    6,905.40x = 57,164,013.30
  5. Step 5: Solve for x
    x = 57,164,013.30/6,905.40
  6. Step 6: Final answer
    x = 8,278.16

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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.