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Finding the Fourth Proportional to 7,854.42, 10,839.25 and 4,317.96

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Solution

The fourth proportional to 7,854.42, 10,839.25 and 4,317.96 is: 5,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.42 : 10,839.25 = 4,317.96 : x
  2. Step 2: Convert to fraction form
    7,854.42/10,839.25 = 4,317.96/x
  3. Step 3: Cross multiply
    7,854.42x = 10,839.25 × 4,317.96
  4. Step 4: Simplify right side
    7,854.42x = 46,803,447.93
  5. Step 5: Solve for x
    x = 46,803,447.93/7,854.42
  6. Step 6: Final answer
    x = 5,958.87

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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.