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Finding the Fourth Proportional to 8,365.41, 11,547.97 and 5,857.38

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Solution

The fourth proportional to 8,365.41, 11,547.97 and 5,857.38 is: 8,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.41 : 11,547.97 = 5,857.38 : x
  2. Step 2: Convert to fraction form
    8,365.41/11,547.97 = 5,857.38/x
  3. Step 3: Cross multiply
    8,365.41x = 11,547.97 × 5,857.38
  4. Step 4: Simplify right side
    8,365.41x = 67,640,848.52
  5. Step 5: Solve for x
    x = 67,640,848.52/8,365.41
  6. Step 6: Final answer
    x = 8,085.78

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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.