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Finding the Fourth Proportional to 8,649.83, 11,934.78 and 5,111.12

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Solution

The fourth proportional to 8,649.83, 11,934.78 and 5,111.12 is: 7,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.83 : 11,934.78 = 5,111.12 : x
  2. Step 2: Convert to fraction form
    8,649.83/11,934.78 = 5,111.12/x
  3. Step 3: Cross multiply
    8,649.83x = 11,934.78 × 5,111.12
  4. Step 4: Simplify right side
    8,649.83x = 61,000,092.75
  5. Step 5: Solve for x
    x = 61,000,092.75/8,649.83
  6. Step 6: Final answer
    x = 7,052.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.