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Finding the Fourth Proportional to 6,864.46, 10,272.08 and 5,943.19

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Solution

The fourth proportional to 6,864.46, 10,272.08 and 5,943.19 is: 8,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.46 : 10,272.08 = 5,943.19 : x
  2. Step 2: Convert to fraction form
    6,864.46/10,272.08 = 5,943.19/x
  3. Step 3: Cross multiply
    6,864.46x = 10,272.08 × 5,943.19
  4. Step 4: Simplify right side
    6,864.46x = 61,048,842.06
  5. Step 5: Solve for x
    x = 61,048,842.06/6,864.46
  6. Step 6: Final answer
    x = 8,893.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.