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Finding the Fourth Proportional to 12,758.74, 19,121.88 and 7,215.16

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Solution

The fourth proportional to 12,758.74, 19,121.88 and 7,215.16 is: 10,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.74 : 19,121.88 = 7,215.16 : x
  2. Step 2: Convert to fraction form
    12,758.74/19,121.88 = 7,215.16/x
  3. Step 3: Cross multiply
    12,758.74x = 19,121.88 × 7,215.16
  4. Step 4: Simplify right side
    12,758.74x = 137,967,423.70
  5. Step 5: Solve for x
    x = 137,967,423.70/12,758.74
  6. Step 6: Final answer
    x = 10,813.56

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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.