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Finding the Fourth Proportional to 10,623.82, 14,660.68 and 5,908

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Solution

The fourth proportional to 10,623.82, 14,660.68 and 5,908 is: 8,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.82 : 14,660.68 = 5,908 : x
  2. Step 2: Convert to fraction form
    10,623.82/14,660.68 = 5,908/x
  3. Step 3: Cross multiply
    10,623.82x = 14,660.68 × 5,908
  4. Step 4: Simplify right side
    10,623.82x = 86,615,297.44
  5. Step 5: Solve for x
    x = 86,615,297.44/10,623.82
  6. Step 6: Final answer
    x = 8,152.93

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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.