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Finding the Fourth Proportional to 8,966.75, 13,452.29 and 2,810.75

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Solution

The fourth proportional to 8,966.75, 13,452.29 and 2,810.75 is: 4,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.75 : 13,452.29 = 2,810.75 : x
  2. Step 2: Convert to fraction form
    8,966.75/13,452.29 = 2,810.75/x
  3. Step 3: Cross multiply
    8,966.75x = 13,452.29 × 2,810.75
  4. Step 4: Simplify right side
    8,966.75x = 37,811,010.06
  5. Step 5: Solve for x
    x = 37,811,010.06/8,966.75
  6. Step 6: Final answer
    x = 4,216.80

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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.