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Finding the Fourth Proportional to 7,106.87, 10,661.59 and 2,426.63

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Solution

The fourth proportional to 7,106.87, 10,661.59 and 2,426.63 is: 3,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.87 : 10,661.59 = 2,426.63 : x
  2. Step 2: Convert to fraction form
    7,106.87/10,661.59 = 2,426.63/x
  3. Step 3: Cross multiply
    7,106.87x = 10,661.59 × 2,426.63
  4. Step 4: Simplify right side
    7,106.87x = 25,871,754.73
  5. Step 5: Solve for x
    x = 25,871,754.73/7,106.87
  6. Step 6: Final answer
    x = 3,640.39

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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.