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Finding the Fourth Proportional to 8,577.30, 12,852.66 and 5,949.91

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Solution

The fourth proportional to 8,577.30, 12,852.66 and 5,949.91 is: 8,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.30 : 12,852.66 = 5,949.91 : x
  2. Step 2: Convert to fraction form
    8,577.30/12,852.66 = 5,949.91/x
  3. Step 3: Cross multiply
    8,577.30x = 12,852.66 × 5,949.91
  4. Step 4: Simplify right side
    8,577.30x = 76,472,170.26
  5. Step 5: Solve for x
    x = 76,472,170.26/8,577.30
  6. Step 6: Final answer
    x = 8,915.65

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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.