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Finding the Fourth Proportional to 7,848.78, 11,773.50 and 2,005.56

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Solution

The fourth proportional to 7,848.78, 11,773.50 and 2,005.56 is: 3,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.78 : 11,773.50 = 2,005.56 : x
  2. Step 2: Convert to fraction form
    7,848.78/11,773.50 = 2,005.56/x
  3. Step 3: Cross multiply
    7,848.78x = 11,773.50 × 2,005.56
  4. Step 4: Simplify right side
    7,848.78x = 23,612,460.66
  5. Step 5: Solve for x
    x = 23,612,460.66/7,848.78
  6. Step 6: Final answer
    x = 3,008.42

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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.