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Finding the Fourth Proportional to 7,834.32, 10,811.54 and 4,297.54

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Solution

The fourth proportional to 7,834.32, 10,811.54 and 4,297.54 is: 5,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.32 : 10,811.54 = 4,297.54 : x
  2. Step 2: Convert to fraction form
    7,834.32/10,811.54 = 4,297.54/x
  3. Step 3: Cross multiply
    7,834.32x = 10,811.54 × 4,297.54
  4. Step 4: Simplify right side
    7,834.32x = 46,462,965.86
  5. Step 5: Solve for x
    x = 46,462,965.86/7,834.32
  6. Step 6: Final answer
    x = 5,930.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.