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Finding the Fourth Proportional to 10,894, 15,033.84 and 5,926

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Solution

The fourth proportional to 10,894, 15,033.84 and 5,926 is: 8,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894 : 15,033.84 = 5,926 : x
  2. Step 2: Convert to fraction form
    10,894/15,033.84 = 5,926/x
  3. Step 3: Cross multiply
    10,894x = 15,033.84 × 5,926
  4. Step 4: Simplify right side
    10,894x = 89,090,535.84
  5. Step 5: Solve for x
    x = 89,090,535.84/10,894
  6. Step 6: Final answer
    x = 8,177.95

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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.