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Finding the Fourth Proportional to 7,854.96, 10,839.32 and 4,318

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Solution

The fourth proportional to 7,854.96, 10,839.32 and 4,318 is: 5,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.96 : 10,839.32 = 4,318 : x
  2. Step 2: Convert to fraction form
    7,854.96/10,839.32 = 4,318/x
  3. Step 3: Cross multiply
    7,854.96x = 10,839.32 × 4,318
  4. Step 4: Simplify right side
    7,854.96x = 46,804,183.76
  5. Step 5: Solve for x
    x = 46,804,183.76/7,854.96
  6. Step 6: Final answer
    x = 5,958.55

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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.