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Finding the Fourth Proportional to 8,397, 11,587.86 and 4,862.30

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Solution

The fourth proportional to 8,397, 11,587.86 and 4,862.30 is: 6,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397 : 11,587.86 = 4,862.30 : x
  2. Step 2: Convert to fraction form
    8,397/11,587.86 = 4,862.30/x
  3. Step 3: Cross multiply
    8,397x = 11,587.86 × 4,862.30
  4. Step 4: Simplify right side
    8,397x = 56,343,593.74
  5. Step 5: Solve for x
    x = 56,343,593.74/8,397
  6. Step 6: Final answer
    x = 6,709.97

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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.