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Finding the Fourth Proportional to 8,097.96, 12,137.98 and 7,441.84

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Solution

The fourth proportional to 8,097.96, 12,137.98 and 7,441.84 is: 11,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.96 : 12,137.98 = 7,441.84 : x
  2. Step 2: Convert to fraction form
    8,097.96/12,137.98 = 7,441.84/x
  3. Step 3: Cross multiply
    8,097.96x = 12,137.98 × 7,441.84
  4. Step 4: Simplify right side
    8,097.96x = 90,328,905.08
  5. Step 5: Solve for x
    x = 90,328,905.08/8,097.96
  6. Step 6: Final answer
    x = 11,154.53

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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.