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Finding the Fourth Proportional to 8,510.25, 12,767.54 and 3,247.41

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Solution

The fourth proportional to 8,510.25, 12,767.54 and 3,247.41 is: 4,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.25 : 12,767.54 = 3,247.41 : x
  2. Step 2: Convert to fraction form
    8,510.25/12,767.54 = 3,247.41/x
  3. Step 3: Cross multiply
    8,510.25x = 12,767.54 × 3,247.41
  4. Step 4: Simplify right side
    8,510.25x = 41,461,420.83
  5. Step 5: Solve for x
    x = 41,461,420.83/8,510.25
  6. Step 6: Final answer
    x = 4,871.94

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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.