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Finding the Fourth Proportional to 10,927.84, 16,391.85 and 3,532.29

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Solution

The fourth proportional to 10,927.84, 16,391.85 and 3,532.29 is: 5,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.84 : 16,391.85 = 3,532.29 : x
  2. Step 2: Convert to fraction form
    10,927.84/16,391.85 = 3,532.29/x
  3. Step 3: Cross multiply
    10,927.84x = 16,391.85 × 3,532.29
  4. Step 4: Simplify right side
    10,927.84x = 57,900,767.84
  5. Step 5: Solve for x
    x = 57,900,767.84/10,927.84
  6. Step 6: Final answer
    x = 5,298.46

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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.