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Finding the Fourth Proportional to 7,106.49, 10,661.09 and 2,426.31

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Solution

The fourth proportional to 7,106.49, 10,661.09 and 2,426.31 is: 3,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.49 : 10,661.09 = 2,426.31 : x
  2. Step 2: Convert to fraction form
    7,106.49/10,661.09 = 2,426.31/x
  3. Step 3: Cross multiply
    7,106.49x = 10,661.09 × 2,426.31
  4. Step 4: Simplify right side
    7,106.49x = 25,867,097.15
  5. Step 5: Solve for x
    x = 25,867,097.15/7,106.49
  6. Step 6: Final answer
    x = 3,639.93

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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.