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Finding the Fourth Proportional to 27,655.65, 41,483.46 and 6,879.15

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Solution

The fourth proportional to 27,655.65, 41,483.46 and 6,879.15 is: 10,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,655.65 : 41,483.46 = 6,879.15 : x
  2. Step 2: Convert to fraction form
    27,655.65/41,483.46 = 6,879.15/x
  3. Step 3: Cross multiply
    27,655.65x = 41,483.46 × 6,879.15
  4. Step 4: Simplify right side
    27,655.65x = 285,370,943.86
  5. Step 5: Solve for x
    x = 285,370,943.86/27,655.65
  6. Step 6: Final answer
    x = 10,318.72

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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.