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Finding the Fourth Proportional to 8,681.94, 13,024.80 and 2,839.14

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Solution

The fourth proportional to 8,681.94, 13,024.80 and 2,839.14 is: 4,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.94 : 13,024.80 = 2,839.14 : x
  2. Step 2: Convert to fraction form
    8,681.94/13,024.80 = 2,839.14/x
  3. Step 3: Cross multiply
    8,681.94x = 13,024.80 × 2,839.14
  4. Step 4: Simplify right side
    8,681.94x = 36,979,230.67
  5. Step 5: Solve for x
    x = 36,979,230.67/8,681.94
  6. Step 6: Final answer
    x = 4,259.33

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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.