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Finding the Fourth Proportional to 7,654.08, 11,473.12 and 5,189.05

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Solution

The fourth proportional to 7,654.08, 11,473.12 and 5,189.05 is: 7,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.08 : 11,473.12 = 5,189.05 : x
  2. Step 2: Convert to fraction form
    7,654.08/11,473.12 = 5,189.05/x
  3. Step 3: Cross multiply
    7,654.08x = 11,473.12 × 5,189.05
  4. Step 4: Simplify right side
    7,654.08x = 59,534,593.34
  5. Step 5: Solve for x
    x = 59,534,593.34/7,654.08
  6. Step 6: Final answer
    x = 7,778.15

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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.