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Finding the Fourth Proportional to 8,224.47, 11,349.52 and 4,687.50

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Solution

The fourth proportional to 8,224.47, 11,349.52 and 4,687.50 is: 6,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.47 : 11,349.52 = 4,687.50 : x
  2. Step 2: Convert to fraction form
    8,224.47/11,349.52 = 4,687.50/x
  3. Step 3: Cross multiply
    8,224.47x = 11,349.52 × 4,687.50
  4. Step 4: Simplify right side
    8,224.47x = 53,200,905.84
  5. Step 5: Solve for x
    x = 53,200,905.84/8,224.47
  6. Step 6: Final answer
    x = 6,468.61

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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.