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Finding the Fourth Proportional to 8,400.65, 12,608.76 and 4,243.57

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Solution

The fourth proportional to 8,400.65, 12,608.76 and 4,243.57 is: 6,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.65 : 12,608.76 = 4,243.57 : x
  2. Step 2: Convert to fraction form
    8,400.65/12,608.76 = 4,243.57/x
  3. Step 3: Cross multiply
    8,400.65x = 12,608.76 × 4,243.57
  4. Step 4: Simplify right side
    8,400.65x = 53,506,155.67
  5. Step 5: Solve for x
    x = 53,506,155.67/8,400.65
  6. Step 6: Final answer
    x = 6,369.29

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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.