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Finding the Fourth Proportional to 27,364.41, 41,046.62 and 6,587.91

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Solution

The fourth proportional to 27,364.41, 41,046.62 and 6,587.91 is: 9,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.41 : 41,046.62 = 6,587.91 : x
  2. Step 2: Convert to fraction form
    27,364.41/41,046.62 = 6,587.91/x
  3. Step 3: Cross multiply
    27,364.41x = 41,046.62 × 6,587.91
  4. Step 4: Simplify right side
    27,364.41x = 270,411,438.36
  5. Step 5: Solve for x
    x = 270,411,438.36/27,364.41
  6. Step 6: Final answer
    x = 9,881.87

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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.