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Finding the Fourth Proportional to 10,866, 16,301.16 and 4,626

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Solution

The fourth proportional to 10,866, 16,301.16 and 4,626 is: 6,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 16,301.16 = 4,626 : x
  2. Step 2: Convert to fraction form
    10,866/16,301.16 = 4,626/x
  3. Step 3: Cross multiply
    10,866x = 16,301.16 × 4,626
  4. Step 4: Simplify right side
    10,866x = 75,409,166.16
  5. Step 5: Solve for x
    x = 75,409,166.16/10,866
  6. Step 6: Final answer
    x = 6,939.92

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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.