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Finding the Fourth Proportional to 8,463.80, 11,678.37 and 5,318.16

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Solution

The fourth proportional to 8,463.80, 11,678.37 and 5,318.16 is: 7,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.80 : 11,678.37 = 5,318.16 : x
  2. Step 2: Convert to fraction form
    8,463.80/11,678.37 = 5,318.16/x
  3. Step 3: Cross multiply
    8,463.80x = 11,678.37 × 5,318.16
  4. Step 4: Simplify right side
    8,463.80x = 62,107,440.20
  5. Step 5: Solve for x
    x = 62,107,440.20/8,463.80
  6. Step 6: Final answer
    x = 7,338.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.