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Finding the Fourth Proportional to 10,353.88, 15,514.62 and 5,669.92

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Solution

The fourth proportional to 10,353.88, 15,514.62 and 5,669.92 is: 8,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.88 : 15,514.62 = 5,669.92 : x
  2. Step 2: Convert to fraction form
    10,353.88/15,514.62 = 5,669.92/x
  3. Step 3: Cross multiply
    10,353.88x = 15,514.62 × 5,669.92
  4. Step 4: Simplify right side
    10,353.88x = 87,966,654.23
  5. Step 5: Solve for x
    x = 87,966,654.23/10,353.88
  6. Step 6: Final answer
    x = 8,496.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.