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Finding the Fourth Proportional to 8,340.74, 11,510.22 and 4,563.86

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Solution

The fourth proportional to 8,340.74, 11,510.22 and 4,563.86 is: 6,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.74 : 11,510.22 = 4,563.86 : x
  2. Step 2: Convert to fraction form
    8,340.74/11,510.22 = 4,563.86/x
  3. Step 3: Cross multiply
    8,340.74x = 11,510.22 × 4,563.86
  4. Step 4: Simplify right side
    8,340.74x = 52,531,032.65
  5. Step 5: Solve for x
    x = 52,531,032.65/8,340.74
  6. Step 6: Final answer
    x = 6,298.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.