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Finding the Fourth Proportional to 11,488.38, 15,853.14 and 6,452.34

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Solution

The fourth proportional to 11,488.38, 15,853.14 and 6,452.34 is: 8,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.38 : 15,853.14 = 6,452.34 : x
  2. Step 2: Convert to fraction form
    11,488.38/15,853.14 = 6,452.34/x
  3. Step 3: Cross multiply
    11,488.38x = 15,853.14 × 6,452.34
  4. Step 4: Simplify right side
    11,488.38x = 102,289,849.35
  5. Step 5: Solve for x
    x = 102,289,849.35/11,488.38
  6. Step 6: Final answer
    x = 8,903.77

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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.