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Finding the Fourth Proportional to 10,378.38, 14,330.52 and 8,016.42

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Solution

The fourth proportional to 10,378.38, 14,330.52 and 8,016.42 is: 11,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.38 : 14,330.52 = 8,016.42 : x
  2. Step 2: Convert to fraction form
    10,378.38/14,330.52 = 8,016.42/x
  3. Step 3: Cross multiply
    10,378.38x = 14,330.52 × 8,016.42
  4. Step 4: Simplify right side
    10,378.38x = 114,879,467.14
  5. Step 5: Solve for x
    x = 114,879,467.14/10,378.38
  6. Step 6: Final answer
    x = 11,069.11

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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.