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Finding the Fourth Proportional to 10,510.38, 15,765.63 and 2,719.26

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Solution

The fourth proportional to 10,510.38, 15,765.63 and 2,719.26 is: 4,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.38 : 15,765.63 = 2,719.26 : x
  2. Step 2: Convert to fraction form
    10,510.38/15,765.63 = 2,719.26/x
  3. Step 3: Cross multiply
    10,510.38x = 15,765.63 × 2,719.26
  4. Step 4: Simplify right side
    10,510.38x = 42,870,847.03
  5. Step 5: Solve for x
    x = 42,870,847.03/10,510.38
  6. Step 6: Final answer
    x = 4,078.91

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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.