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Finding the Fourth Proportional to 7,855.24, 10,839.76 and 4,318.36

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Solution

The fourth proportional to 7,855.24, 10,839.76 and 4,318.36 is: 5,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.24 : 10,839.76 = 4,318.36 : x
  2. Step 2: Convert to fraction form
    7,855.24/10,839.76 = 4,318.36/x
  3. Step 3: Cross multiply
    7,855.24x = 10,839.76 × 4,318.36
  4. Step 4: Simplify right side
    7,855.24x = 46,809,985.99
  5. Step 5: Solve for x
    x = 46,809,985.99/7,855.24
  6. Step 6: Final answer
    x = 5,959.08

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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.