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Finding the Fourth Proportional to 10,759.84, 16,147.15 and 4,186.08

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Solution

The fourth proportional to 10,759.84, 16,147.15 and 4,186.08 is: 6,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.84 : 16,147.15 = 4,186.08 : x
  2. Step 2: Convert to fraction form
    10,759.84/16,147.15 = 4,186.08/x
  3. Step 3: Cross multiply
    10,759.84x = 16,147.15 × 4,186.08
  4. Step 4: Simplify right side
    10,759.84x = 67,593,251.21
  5. Step 5: Solve for x
    x = 67,593,251.21/10,759.84
  6. Step 6: Final answer
    x = 6,282.00

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