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Finding the Fourth Proportional to 11,595.32, 16,001.49 and 6,290.14

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Solution

The fourth proportional to 11,595.32, 16,001.49 and 6,290.14 is: 8,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.32 : 16,001.49 = 6,290.14 : x
  2. Step 2: Convert to fraction form
    11,595.32/16,001.49 = 6,290.14/x
  3. Step 3: Cross multiply
    11,595.32x = 16,001.49 × 6,290.14
  4. Step 4: Simplify right side
    11,595.32x = 100,651,612.31
  5. Step 5: Solve for x
    x = 100,651,612.31/11,595.32
  6. Step 6: Final answer
    x = 8,680.37

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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.