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Finding the Fourth Proportional to 8,148.33, 12,224.30 and 4,640.00

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Solution

The fourth proportional to 8,148.33, 12,224.30 and 4,640.00 is: 6,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.33 : 12,224.30 = 4,640.00 : x
  2. Step 2: Convert to fraction form
    8,148.33/12,224.30 = 4,640.00/x
  3. Step 3: Cross multiply
    8,148.33x = 12,224.30 × 4,640.00
  4. Step 4: Simplify right side
    8,148.33x = 56,720,667.68
  5. Step 5: Solve for x
    x = 56,720,667.68/8,148.33
  6. Step 6: Final answer
    x = 6,961.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.