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Finding the Fourth Proportional to 7,110.06, 9,811.17 and 3,966.30

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Solution

The fourth proportional to 7,110.06, 9,811.17 and 3,966.30 is: 5,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.06 : 9,811.17 = 3,966.30 : x
  2. Step 2: Convert to fraction form
    7,110.06/9,811.17 = 3,966.30/x
  3. Step 3: Cross multiply
    7,110.06x = 9,811.17 × 3,966.30
  4. Step 4: Simplify right side
    7,110.06x = 38,914,043.57
  5. Step 5: Solve for x
    x = 38,914,043.57/7,110.06
  6. Step 6: Final answer
    x = 5,473.10

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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.