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Finding the Fourth Proportional to 7,103.88, 10,657.38 and 2,105.86

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Solution

The fourth proportional to 7,103.88, 10,657.38 and 2,105.86 is: 3,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.88 : 10,657.38 = 2,105.86 : x
  2. Step 2: Convert to fraction form
    7,103.88/10,657.38 = 2,105.86/x
  3. Step 3: Cross multiply
    7,103.88x = 10,657.38 × 2,105.86
  4. Step 4: Simplify right side
    7,103.88x = 22,442,950.25
  5. Step 5: Solve for x
    x = 22,442,950.25/7,103.88
  6. Step 6: Final answer
    x = 3,159.25

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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.