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Finding the Fourth Proportional to 10,581.47, 15,879.51 and 3,655.97

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Solution

The fourth proportional to 10,581.47, 15,879.51 and 3,655.97 is: 5,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.47 : 15,879.51 = 3,655.97 : x
  2. Step 2: Convert to fraction form
    10,581.47/15,879.51 = 3,655.97/x
  3. Step 3: Cross multiply
    10,581.47x = 15,879.51 × 3,655.97
  4. Step 4: Simplify right side
    10,581.47x = 58,054,992.33
  5. Step 5: Solve for x
    x = 58,054,992.33/10,581.47
  6. Step 6: Final answer
    x = 5,486.48

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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.