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Finding the Fourth Proportional to 8,146.72, 12,219.86 and 2,600.40

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Solution

The fourth proportional to 8,146.72, 12,219.86 and 2,600.40 is: 3,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.72 : 12,219.86 = 2,600.40 : x
  2. Step 2: Convert to fraction form
    8,146.72/12,219.86 = 2,600.40/x
  3. Step 3: Cross multiply
    8,146.72x = 12,219.86 × 2,600.40
  4. Step 4: Simplify right side
    8,146.72x = 31,776,530.45
  5. Step 5: Solve for x
    x = 31,776,530.45/8,146.72
  6. Step 6: Final answer
    x = 3,900.53

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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.