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Finding the Fourth Proportional to 7,105.86, 10,653.80 and 2,423.66

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Solution

The fourth proportional to 7,105.86, 10,653.80 and 2,423.66 is: 3,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.86 : 10,653.80 = 2,423.66 : x
  2. Step 2: Convert to fraction form
    7,105.86/10,653.80 = 2,423.66/x
  3. Step 3: Cross multiply
    7,105.86x = 10,653.80 × 2,423.66
  4. Step 4: Simplify right side
    7,105.86x = 25,821,123.52
  5. Step 5: Solve for x
    x = 25,821,123.52/7,105.86
  6. Step 6: Final answer
    x = 3,633.78

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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.