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Finding the Fourth Proportional to 10,595.39, 14,622.32 and 5,879.68

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Solution

The fourth proportional to 10,595.39, 14,622.32 and 5,879.68 is: 8,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.39 : 14,622.32 = 5,879.68 : x
  2. Step 2: Convert to fraction form
    10,595.39/14,622.32 = 5,879.68/x
  3. Step 3: Cross multiply
    10,595.39x = 14,622.32 × 5,879.68
  4. Step 4: Simplify right side
    10,595.39x = 85,974,540.60
  5. Step 5: Solve for x
    x = 85,974,540.60/10,595.39
  6. Step 6: Final answer
    x = 8,114.34

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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.