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Finding the Fourth Proportional to 10,866.12, 14,994.82 and 6,150.12

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Solution

The fourth proportional to 10,866.12, 14,994.82 and 6,150.12 is: 8,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.12 : 14,994.82 = 6,150.12 : x
  2. Step 2: Convert to fraction form
    10,866.12/14,994.82 = 6,150.12/x
  3. Step 3: Cross multiply
    10,866.12x = 14,994.82 × 6,150.12
  4. Step 4: Simplify right side
    10,866.12x = 92,219,942.38
  5. Step 5: Solve for x
    x = 92,219,942.38/10,866.12
  6. Step 6: Final answer
    x = 8,486.92

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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.