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Finding the Fourth Proportional to 11,881.25, 16,395.93 and 6,575.96

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Solution

The fourth proportional to 11,881.25, 16,395.93 and 6,575.96 is: 9,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.25 : 16,395.93 = 6,575.96 : x
  2. Step 2: Convert to fraction form
    11,881.25/16,395.93 = 6,575.96/x
  3. Step 3: Cross multiply
    11,881.25x = 16,395.93 × 6,575.96
  4. Step 4: Simplify right side
    11,881.25x = 107,818,897.86
  5. Step 5: Solve for x
    x = 107,818,897.86/11,881.25
  6. Step 6: Final answer
    x = 9,074.71

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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.