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Finding the Fourth Proportional to 8,270.60, 11,414.24 and 4,733.12

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Solution

The fourth proportional to 8,270.60, 11,414.24 and 4,733.12 is: 6,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.60 : 11,414.24 = 4,733.12 : x
  2. Step 2: Convert to fraction form
    8,270.60/11,414.24 = 4,733.12/x
  3. Step 3: Cross multiply
    8,270.60x = 11,414.24 × 4,733.12
  4. Step 4: Simplify right side
    8,270.60x = 54,024,967.63
  5. Step 5: Solve for x
    x = 54,024,967.63/8,270.60
  6. Step 6: Final answer
    x = 6,532.17

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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.