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Finding the Fourth Proportional to 7,854.89, 10,839.75 and 4,318.34

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Solution

The fourth proportional to 7,854.89, 10,839.75 and 4,318.34 is: 5,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.89 : 10,839.75 = 4,318.34 : x
  2. Step 2: Convert to fraction form
    7,854.89/10,839.75 = 4,318.34/x
  3. Step 3: Cross multiply
    7,854.89x = 10,839.75 × 4,318.34
  4. Step 4: Simplify right side
    7,854.89x = 46,809,726.02
  5. Step 5: Solve for x
    x = 46,809,726.02/7,854.89
  6. Step 6: Final answer
    x = 5,959.31

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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.