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Finding the Fourth Proportional to 7,760.58, 10,705.05 and 5,633.61

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Solution

The fourth proportional to 7,760.58, 10,705.05 and 5,633.61 is: 7,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.58 : 10,705.05 = 5,633.61 : x
  2. Step 2: Convert to fraction form
    7,760.58/10,705.05 = 5,633.61/x
  3. Step 3: Cross multiply
    7,760.58x = 10,705.05 × 5,633.61
  4. Step 4: Simplify right side
    7,760.58x = 60,308,076.73
  5. Step 5: Solve for x
    x = 60,308,076.73/7,760.58
  6. Step 6: Final answer
    x = 7,771.08

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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.