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Finding the Fourth Proportional to 7,246.77, 10,871.52 and 2,864.26

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Solution

The fourth proportional to 7,246.77, 10,871.52 and 2,864.26 is: 4,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.77 : 10,871.52 = 2,864.26 : x
  2. Step 2: Convert to fraction form
    7,246.77/10,871.52 = 2,864.26/x
  3. Step 3: Cross multiply
    7,246.77x = 10,871.52 × 2,864.26
  4. Step 4: Simplify right side
    7,246.77x = 31,138,862.72
  5. Step 5: Solve for x
    x = 31,138,862.72/7,246.77
  6. Step 6: Final answer
    x = 4,296.93

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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.