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Finding the Fourth Proportional to 8,422.86, 11,624.13 and 4,887.30

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Solution

The fourth proportional to 8,422.86, 11,624.13 and 4,887.30 is: 6,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.86 : 11,624.13 = 4,887.30 : x
  2. Step 2: Convert to fraction form
    8,422.86/11,624.13 = 4,887.30/x
  3. Step 3: Cross multiply
    8,422.86x = 11,624.13 × 4,887.30
  4. Step 4: Simplify right side
    8,422.86x = 56,810,610.55
  5. Step 5: Solve for x
    x = 56,810,610.55/8,422.86
  6. Step 6: Final answer
    x = 6,744.81

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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.