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Finding the Fourth Proportional to 6,952.92, 10,426.80 and 2,271.84

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Solution

The fourth proportional to 6,952.92, 10,426.80 and 2,271.84 is: 3,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.92 : 10,426.80 = 2,271.84 : x
  2. Step 2: Convert to fraction form
    6,952.92/10,426.80 = 2,271.84/x
  3. Step 3: Cross multiply
    6,952.92x = 10,426.80 × 2,271.84
  4. Step 4: Simplify right side
    6,952.92x = 23,688,021.31
  5. Step 5: Solve for x
    x = 23,688,021.31/6,952.92
  6. Step 6: Final answer
    x = 3,406.92

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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.