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Finding the Fourth Proportional to 7,327.54, 10,098.30 and 5,228.02

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Solution

The fourth proportional to 7,327.54, 10,098.30 and 5,228.02 is: 7,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.54 : 10,098.30 = 5,228.02 : x
  2. Step 2: Convert to fraction form
    7,327.54/10,098.30 = 5,228.02/x
  3. Step 3: Cross multiply
    7,327.54x = 10,098.30 × 5,228.02
  4. Step 4: Simplify right side
    7,327.54x = 52,794,114.37
  5. Step 5: Solve for x
    x = 52,794,114.37/7,327.54
  6. Step 6: Final answer
    x = 7,204.89

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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.