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Finding the Fourth Proportional to 10,895.82, 15,050.32 and 9,015

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Solution

The fourth proportional to 10,895.82, 15,050.32 and 9,015 is: 12,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.82 : 15,050.32 = 9,015 : x
  2. Step 2: Convert to fraction form
    10,895.82/15,050.32 = 9,015/x
  3. Step 3: Cross multiply
    10,895.82x = 15,050.32 × 9,015
  4. Step 4: Simplify right side
    10,895.82x = 135,678,634.80
  5. Step 5: Solve for x
    x = 135,678,634.80/10,895.82
  6. Step 6: Final answer
    x = 12,452.36

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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.