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Finding the Fourth Proportional to 10,055.30, 15,082.41 and 2,660

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Solution

The fourth proportional to 10,055.30, 15,082.41 and 2,660 is: 3,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.30 : 15,082.41 = 2,660 : x
  2. Step 2: Convert to fraction form
    10,055.30/15,082.41 = 2,660/x
  3. Step 3: Cross multiply
    10,055.30x = 15,082.41 × 2,660
  4. Step 4: Simplify right side
    10,055.30x = 40,119,210.60
  5. Step 5: Solve for x
    x = 40,119,210.60/10,055.30
  6. Step 6: Final answer
    x = 3,989.86

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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.