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Finding the Fourth Proportional to 8,224.80, 11,339.93 and 6,864.02

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Solution

The fourth proportional to 8,224.80, 11,339.93 and 6,864.02 is: 9,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.80 : 11,339.93 = 6,864.02 : x
  2. Step 2: Convert to fraction form
    8,224.80/11,339.93 = 6,864.02/x
  3. Step 3: Cross multiply
    8,224.80x = 11,339.93 × 6,864.02
  4. Step 4: Simplify right side
    8,224.80x = 77,837,574.58
  5. Step 5: Solve for x
    x = 77,837,574.58/8,224.80
  6. Step 6: Final answer
    x = 9,463.77

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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.