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Finding the Fourth Proportional to 11,788.08, 17,655.99 and 6,845.46

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Solution

The fourth proportional to 11,788.08, 17,655.99 and 6,845.46 is: 10,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.08 : 17,655.99 = 6,845.46 : x
  2. Step 2: Convert to fraction form
    11,788.08/17,655.99 = 6,845.46/x
  3. Step 3: Cross multiply
    11,788.08x = 17,655.99 × 6,845.46
  4. Step 4: Simplify right side
    11,788.08x = 120,863,373.31
  5. Step 5: Solve for x
    x = 120,863,373.31/11,788.08
  6. Step 6: Final answer
    x = 10,253.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.