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Finding the Fourth Proportional to 10,868.36, 16,302.36 and 3,472.77

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Solution

The fourth proportional to 10,868.36, 16,302.36 and 3,472.77 is: 5,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.36 : 16,302.36 = 3,472.77 : x
  2. Step 2: Convert to fraction form
    10,868.36/16,302.36 = 3,472.77/x
  3. Step 3: Cross multiply
    10,868.36x = 16,302.36 × 3,472.77
  4. Step 4: Simplify right side
    10,868.36x = 56,614,346.74
  5. Step 5: Solve for x
    x = 56,614,346.74/10,868.36
  6. Step 6: Final answer
    x = 5,209.10

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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.