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Finding the Fourth Proportional to 8,510.90, 12,680.80 and 8,033.42

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Solution

The fourth proportional to 8,510.90, 12,680.80 and 8,033.42 is: 11,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.90 : 12,680.80 = 8,033.42 : x
  2. Step 2: Convert to fraction form
    8,510.90/12,680.80 = 8,033.42/x
  3. Step 3: Cross multiply
    8,510.90x = 12,680.80 × 8,033.42
  4. Step 4: Simplify right side
    8,510.90x = 101,870,192.34
  5. Step 5: Solve for x
    x = 101,870,192.34/8,510.90
  6. Step 6: Final answer
    x = 11,969.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.