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Finding the Fourth Proportional to 8,519.01, 12,774.46 and 2,971.68

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Solution

The fourth proportional to 8,519.01, 12,774.46 and 2,971.68 is: 4,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.01 : 12,774.46 = 2,971.68 : x
  2. Step 2: Convert to fraction form
    8,519.01/12,774.46 = 2,971.68/x
  3. Step 3: Cross multiply
    8,519.01x = 12,774.46 × 2,971.68
  4. Step 4: Simplify right side
    8,519.01x = 37,961,607.29
  5. Step 5: Solve for x
    x = 37,961,607.29/8,519.01
  6. Step 6: Final answer
    x = 4,456.11

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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.