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Finding the Fourth Proportional to 7,223.60, 9,968.56 and 3,911.60

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Solution

The fourth proportional to 7,223.60, 9,968.56 and 3,911.60 is: 5,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.60 : 9,968.56 = 3,911.60 : x
  2. Step 2: Convert to fraction form
    7,223.60/9,968.56 = 3,911.60/x
  3. Step 3: Cross multiply
    7,223.60x = 9,968.56 × 3,911.60
  4. Step 4: Simplify right side
    7,223.60x = 38,993,019.30
  5. Step 5: Solve for x
    x = 38,993,019.30/7,223.60
  6. Step 6: Final answer
    x = 5,398.00

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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.