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Finding the Fourth Proportional to 8,845.74, 12,206.82 and 5,211.78

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Solution

The fourth proportional to 8,845.74, 12,206.82 and 5,211.78 is: 7,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,845.74 : 12,206.82 = 5,211.78 : x
  2. Step 2: Convert to fraction form
    8,845.74/12,206.82 = 5,211.78/x
  3. Step 3: Cross multiply
    8,845.74x = 12,206.82 × 5,211.78
  4. Step 4: Simplify right side
    8,845.74x = 63,619,260.34
  5. Step 5: Solve for x
    x = 63,619,260.34/8,845.74
  6. Step 6: Final answer
    x = 7,192.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.