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Finding the Fourth Proportional to 11,593.76, 16,001.40 and 6,878.34

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Solution

The fourth proportional to 11,593.76, 16,001.40 and 6,878.34 is: 9,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.76 : 16,001.40 = 6,878.34 : x
  2. Step 2: Convert to fraction form
    11,593.76/16,001.40 = 6,878.34/x
  3. Step 3: Cross multiply
    11,593.76x = 16,001.40 × 6,878.34
  4. Step 4: Simplify right side
    11,593.76x = 110,063,069.68
  5. Step 5: Solve for x
    x = 110,063,069.68/11,593.76
  6. Step 6: Final answer
    x = 9,493.30

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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.