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Finding the Fourth Proportional to 7,138.43, 10,695.84 and 2,455.92

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Solution

The fourth proportional to 7,138.43, 10,695.84 and 2,455.92 is: 3,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.43 : 10,695.84 = 2,455.92 : x
  2. Step 2: Convert to fraction form
    7,138.43/10,695.84 = 2,455.92/x
  3. Step 3: Cross multiply
    7,138.43x = 10,695.84 × 2,455.92
  4. Step 4: Simplify right side
    7,138.43x = 26,268,127.37
  5. Step 5: Solve for x
    x = 26,268,127.37/7,138.43
  6. Step 6: Final answer
    x = 3,679.82

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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.