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Finding the Fourth Proportional to 8,640.10, 12,960.18 and 2,400.46

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Solution

The fourth proportional to 8,640.10, 12,960.18 and 2,400.46 is: 3,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.10 : 12,960.18 = 2,400.46 : x
  2. Step 2: Convert to fraction form
    8,640.10/12,960.18 = 2,400.46/x
  3. Step 3: Cross multiply
    8,640.10x = 12,960.18 × 2,400.46
  4. Step 4: Simplify right side
    8,640.10x = 31,110,393.68
  5. Step 5: Solve for x
    x = 31,110,393.68/8,640.10
  6. Step 6: Final answer
    x = 3,600.70

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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.