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Finding the Fourth Proportional to 8,271.25, 11,411.08 and 4,732.56

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Solution

The fourth proportional to 8,271.25, 11,411.08 and 4,732.56 is: 6,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.25 : 11,411.08 = 4,732.56 : x
  2. Step 2: Convert to fraction form
    8,271.25/11,411.08 = 4,732.56/x
  3. Step 3: Cross multiply
    8,271.25x = 11,411.08 × 4,732.56
  4. Step 4: Simplify right side
    8,271.25x = 54,003,608.93
  5. Step 5: Solve for x
    x = 54,003,608.93/8,271.25
  6. Step 6: Final answer
    x = 6,529.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.