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Finding the Fourth Proportional to 8,441.15, 11,649.08 and 5,299.07

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Solution

The fourth proportional to 8,441.15, 11,649.08 and 5,299.07 is: 7,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.15 : 11,649.08 = 5,299.07 : x
  2. Step 2: Convert to fraction form
    8,441.15/11,649.08 = 5,299.07/x
  3. Step 3: Cross multiply
    8,441.15x = 11,649.08 × 5,299.07
  4. Step 4: Simplify right side
    8,441.15x = 61,729,263.86
  5. Step 5: Solve for x
    x = 61,729,263.86/8,441.15
  6. Step 6: Final answer
    x = 7,312.90

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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.