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Finding the Fourth Proportional to 10,881.86, 15,017.25 and 6,166.10

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Solution

The fourth proportional to 10,881.86, 15,017.25 and 6,166.10 is: 8,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.86 : 15,017.25 = 6,166.10 : x
  2. Step 2: Convert to fraction form
    10,881.86/15,017.25 = 6,166.10/x
  3. Step 3: Cross multiply
    10,881.86x = 15,017.25 × 6,166.10
  4. Step 4: Simplify right side
    10,881.86x = 92,597,790.14
  5. Step 5: Solve for x
    x = 92,597,790.14/10,881.86
  6. Step 6: Final answer
    x = 8,509.38

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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.