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Finding the Fourth Proportional to 10,868, 14,998.02 and 5,900

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Solution

The fourth proportional to 10,868, 14,998.02 and 5,900 is: 8,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868 : 14,998.02 = 5,900 : x
  2. Step 2: Convert to fraction form
    10,868/14,998.02 = 5,900/x
  3. Step 3: Cross multiply
    10,868x = 14,998.02 × 5,900
  4. Step 4: Simplify right side
    10,868x = 88,488,318
  5. Step 5: Solve for x
    x = 88,488,318/10,868
  6. Step 6: Final answer
    x = 8,142.10

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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.