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Finding the Fourth Proportional to 8,463.68, 11,679.49 and 4,686.58

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Solution

The fourth proportional to 8,463.68, 11,679.49 and 4,686.58 is: 6,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.68 : 11,679.49 = 4,686.58 : x
  2. Step 2: Convert to fraction form
    8,463.68/11,679.49 = 4,686.58/x
  3. Step 3: Cross multiply
    8,463.68x = 11,679.49 × 4,686.58
  4. Step 4: Simplify right side
    8,463.68x = 54,736,864.24
  5. Step 5: Solve for x
    x = 54,736,864.24/8,463.68
  6. Step 6: Final answer
    x = 6,467.27

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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.