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Finding the Fourth Proportional to 8,287.73, 11,425.86 and 5,630.54

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Solution

The fourth proportional to 8,287.73, 11,425.86 and 5,630.54 is: 7,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.73 : 11,425.86 = 5,630.54 : x
  2. Step 2: Convert to fraction form
    8,287.73/11,425.86 = 5,630.54/x
  3. Step 3: Cross multiply
    8,287.73x = 11,425.86 × 5,630.54
  4. Step 4: Simplify right side
    8,287.73x = 64,333,761.76
  5. Step 5: Solve for x
    x = 64,333,761.76/8,287.73
  6. Step 6: Final answer
    x = 7,762.53

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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.