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Finding the Fourth Proportional to 8,833.84, 13,250.76 and 3,908.50

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Solution

The fourth proportional to 8,833.84, 13,250.76 and 3,908.50 is: 5,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.84 : 13,250.76 = 3,908.50 : x
  2. Step 2: Convert to fraction form
    8,833.84/13,250.76 = 3,908.50/x
  3. Step 3: Cross multiply
    8,833.84x = 13,250.76 × 3,908.50
  4. Step 4: Simplify right side
    8,833.84x = 51,790,595.46
  5. Step 5: Solve for x
    x = 51,790,595.46/8,833.84
  6. Step 6: Final answer
    x = 5,862.75

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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.