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Finding the Fourth Proportional to 12,758.18, 19,121.96 and 5,360

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Solution

The fourth proportional to 12,758.18, 19,121.96 and 5,360 is: 8,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.18 : 19,121.96 = 5,360 : x
  2. Step 2: Convert to fraction form
    12,758.18/19,121.96 = 5,360/x
  3. Step 3: Cross multiply
    12,758.18x = 19,121.96 × 5,360
  4. Step 4: Simplify right side
    12,758.18x = 102,493,705.60
  5. Step 5: Solve for x
    x = 102,493,705.60/12,758.18
  6. Step 6: Final answer
    x = 8,033.57

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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.