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Finding the Fourth Proportional to 7,110.30, 9,812.16 and 3,966.48

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Solution

The fourth proportional to 7,110.30, 9,812.16 and 3,966.48 is: 5,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.30 : 9,812.16 = 3,966.48 : x
  2. Step 2: Convert to fraction form
    7,110.30/9,812.16 = 3,966.48/x
  3. Step 3: Cross multiply
    7,110.30x = 9,812.16 × 3,966.48
  4. Step 4: Simplify right side
    7,110.30x = 38,919,736.40
  5. Step 5: Solve for x
    x = 38,919,736.40/7,110.30
  6. Step 6: Final answer
    x = 5,473.71

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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.