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Finding the Fourth Proportional to 10,324, 14,249.04 and 5,908

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Solution

The fourth proportional to 10,324, 14,249.04 and 5,908 is: 8,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 14,249.04 = 5,908 : x
  2. Step 2: Convert to fraction form
    10,324/14,249.04 = 5,908/x
  3. Step 3: Cross multiply
    10,324x = 14,249.04 × 5,908
  4. Step 4: Simplify right side
    10,324x = 84,183,328.32
  5. Step 5: Solve for x
    x = 84,183,328.32/10,324
  6. Step 6: Final answer
    x = 8,154.14

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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.