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Finding the Fourth Proportional to 11,881.13, 16,395.76 and 6,575.83

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Solution

The fourth proportional to 11,881.13, 16,395.76 and 6,575.83 is: 9,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.13 : 16,395.76 = 6,575.83 : x
  2. Step 2: Convert to fraction form
    11,881.13/16,395.76 = 6,575.83/x
  3. Step 3: Cross multiply
    11,881.13x = 16,395.76 × 6,575.83
  4. Step 4: Simplify right side
    11,881.13x = 107,815,714.04
  5. Step 5: Solve for x
    x = 107,815,714.04/11,881.13
  6. Step 6: Final answer
    x = 9,074.54

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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.