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Finding the Fourth Proportional to 8,140.88, 12,202.76 and 4,626.48

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Solution

The fourth proportional to 8,140.88, 12,202.76 and 4,626.48 is: 6,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.88 : 12,202.76 = 4,626.48 : x
  2. Step 2: Convert to fraction form
    8,140.88/12,202.76 = 4,626.48/x
  3. Step 3: Cross multiply
    8,140.88x = 12,202.76 × 4,626.48
  4. Step 4: Simplify right side
    8,140.88x = 56,455,825.08
  5. Step 5: Solve for x
    x = 56,455,825.08/8,140.88
  6. Step 6: Final answer
    x = 6,934.86

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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.