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Finding the Fourth Proportional to 8,517.68, 11,738 and 5,681.84

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Solution

The fourth proportional to 8,517.68, 11,738 and 5,681.84 is: 7,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.68 : 11,738 = 5,681.84 : x
  2. Step 2: Convert to fraction form
    8,517.68/11,738 = 5,681.84/x
  3. Step 3: Cross multiply
    8,517.68x = 11,738 × 5,681.84
  4. Step 4: Simplify right side
    8,517.68x = 66,693,437.92
  5. Step 5: Solve for x
    x = 66,693,437.92/8,517.68
  6. Step 6: Final answer
    x = 7,830.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.