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Finding the Fourth Proportional to 10,510.75, 15,766.22 and 2,719.09

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Solution

The fourth proportional to 10,510.75, 15,766.22 and 2,719.09 is: 4,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.75 : 15,766.22 = 2,719.09 : x
  2. Step 2: Convert to fraction form
    10,510.75/15,766.22 = 2,719.09/x
  3. Step 3: Cross multiply
    10,510.75x = 15,766.22 × 2,719.09
  4. Step 4: Simplify right side
    10,510.75x = 42,869,771.14
  5. Step 5: Solve for x
    x = 42,869,771.14/10,510.75
  6. Step 6: Final answer
    x = 4,078.66

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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.