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Finding the Fourth Proportional to 8,486.06, 11,710.54 and 4,949.04

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Solution

The fourth proportional to 8,486.06, 11,710.54 and 4,949.04 is: 6,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.06 : 11,710.54 = 4,949.04 : x
  2. Step 2: Convert to fraction form
    8,486.06/11,710.54 = 4,949.04/x
  3. Step 3: Cross multiply
    8,486.06x = 11,710.54 × 4,949.04
  4. Step 4: Simplify right side
    8,486.06x = 57,955,930.88
  5. Step 5: Solve for x
    x = 57,955,930.88/8,486.06
  6. Step 6: Final answer
    x = 6,829.55

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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.