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Finding the Fourth Proportional to 11,847.50, 17,780.88 and 6,005.78

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Solution

The fourth proportional to 11,847.50, 17,780.88 and 6,005.78 is: 9,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.50 : 17,780.88 = 6,005.78 : x
  2. Step 2: Convert to fraction form
    11,847.50/17,780.88 = 6,005.78/x
  3. Step 3: Cross multiply
    11,847.50x = 17,780.88 × 6,005.78
  4. Step 4: Simplify right side
    11,847.50x = 106,788,053.49
  5. Step 5: Solve for x
    x = 106,788,053.49/11,847.50
  6. Step 6: Final answer
    x = 9,013.55

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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.