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Finding the Fourth Proportional to 8,144.84, 12,155.74 and 7,357.52

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Solution

The fourth proportional to 8,144.84, 12,155.74 and 7,357.52 is: 10,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.84 : 12,155.74 = 7,357.52 : x
  2. Step 2: Convert to fraction form
    8,144.84/12,155.74 = 7,357.52/x
  3. Step 3: Cross multiply
    8,144.84x = 12,155.74 × 7,357.52
  4. Step 4: Simplify right side
    8,144.84x = 89,436,100.16
  5. Step 5: Solve for x
    x = 89,436,100.16/8,144.84
  6. Step 6: Final answer
    x = 10,980.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.