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Finding the Fourth Proportional to 7,577.78, 11,360.98 and 5,105.66

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Solution

The fourth proportional to 7,577.78, 11,360.98 and 5,105.66 is: 7,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.78 : 11,360.98 = 5,105.66 : x
  2. Step 2: Convert to fraction form
    7,577.78/11,360.98 = 5,105.66/x
  3. Step 3: Cross multiply
    7,577.78x = 11,360.98 × 5,105.66
  4. Step 4: Simplify right side
    7,577.78x = 58,005,301.15
  5. Step 5: Solve for x
    x = 58,005,301.15/7,577.78
  6. Step 6: Final answer
    x = 7,654.66

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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.