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Finding the Fourth Proportional to 8,569.98, 12,851.73 and 4,672.26

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Solution

The fourth proportional to 8,569.98, 12,851.73 and 4,672.26 is: 7,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.98 : 12,851.73 = 4,672.26 : x
  2. Step 2: Convert to fraction form
    8,569.98/12,851.73 = 4,672.26/x
  3. Step 3: Cross multiply
    8,569.98x = 12,851.73 × 4,672.26
  4. Step 4: Simplify right side
    8,569.98x = 60,046,624.01
  5. Step 5: Solve for x
    x = 60,046,624.01/8,569.98
  6. Step 6: Final answer
    x = 7,006.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.