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Finding the Fourth Proportional to 11,585.82, 15,988.38 and 6,280.65

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Solution

The fourth proportional to 11,585.82, 15,988.38 and 6,280.65 is: 8,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.82 : 15,988.38 = 6,280.65 : x
  2. Step 2: Convert to fraction form
    11,585.82/15,988.38 = 6,280.65/x
  3. Step 3: Cross multiply
    11,585.82x = 15,988.38 × 6,280.65
  4. Step 4: Simplify right side
    11,585.82x = 100,417,418.85
  5. Step 5: Solve for x
    x = 100,417,418.85/11,585.82
  6. Step 6: Final answer
    x = 8,667.27

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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.