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Finding the Fourth Proportional to 7,438.16, 11,158.26 and 2,509.20

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Solution

The fourth proportional to 7,438.16, 11,158.26 and 2,509.20 is: 3,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.16 : 11,158.26 = 2,509.20 : x
  2. Step 2: Convert to fraction form
    7,438.16/11,158.26 = 2,509.20/x
  3. Step 3: Cross multiply
    7,438.16x = 11,158.26 × 2,509.20
  4. Step 4: Simplify right side
    7,438.16x = 27,998,305.99
  5. Step 5: Solve for x
    x = 27,998,305.99/7,438.16
  6. Step 6: Final answer
    x = 3,764.15

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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.