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Finding the Fourth Proportional to 7,106.66, 10,661.53 and 2,724.12

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Solution

The fourth proportional to 7,106.66, 10,661.53 and 2,724.12 is: 4,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.66 : 10,661.53 = 2,724.12 : x
  2. Step 2: Convert to fraction form
    7,106.66/10,661.53 = 2,724.12/x
  3. Step 3: Cross multiply
    7,106.66x = 10,661.53 × 2,724.12
  4. Step 4: Simplify right side
    7,106.66x = 29,043,285.40
  5. Step 5: Solve for x
    x = 29,043,285.40/7,106.66
  6. Step 6: Final answer
    x = 4,086.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.