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Finding the Fourth Proportional to 7,103.97, 10,655.94 and 1,909.85

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Solution

The fourth proportional to 7,103.97, 10,655.94 and 1,909.85 is: 2,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.97 : 10,655.94 = 1,909.85 : x
  2. Step 2: Convert to fraction form
    7,103.97/10,655.94 = 1,909.85/x
  3. Step 3: Cross multiply
    7,103.97x = 10,655.94 × 1,909.85
  4. Step 4: Simplify right side
    7,103.97x = 20,351,247.01
  5. Step 5: Solve for x
    x = 20,351,247.01/7,103.97
  6. Step 6: Final answer
    x = 2,864.77

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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.