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Finding the Fourth Proportional to 6,105.70, 9,158.55 and 5,352.40

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Solution

The fourth proportional to 6,105.70, 9,158.55 and 5,352.40 is: 8,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.70 : 9,158.55 = 5,352.40 : x
  2. Step 2: Convert to fraction form
    6,105.70/9,158.55 = 5,352.40/x
  3. Step 3: Cross multiply
    6,105.70x = 9,158.55 × 5,352.40
  4. Step 4: Simplify right side
    6,105.70x = 49,020,223.02
  5. Step 5: Solve for x
    x = 49,020,223.02/6,105.70
  6. Step 6: Final answer
    x = 8,028.60

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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.