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Finding the Fourth Proportional to 7,964.48, 10,990.47 and 4,427.60

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Solution

The fourth proportional to 7,964.48, 10,990.47 and 4,427.60 is: 6,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.48 : 10,990.47 = 4,427.60 : x
  2. Step 2: Convert to fraction form
    7,964.48/10,990.47 = 4,427.60/x
  3. Step 3: Cross multiply
    7,964.48x = 10,990.47 × 4,427.60
  4. Step 4: Simplify right side
    7,964.48x = 48,661,404.97
  5. Step 5: Solve for x
    x = 48,661,404.97/7,964.48
  6. Step 6: Final answer
    x = 6,109.80

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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.