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Finding the Fourth Proportional to 7,271.76, 10,905.92 and 3,374

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Solution

The fourth proportional to 7,271.76, 10,905.92 and 3,374 is: 5,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.76 : 10,905.92 = 3,374 : x
  2. Step 2: Convert to fraction form
    7,271.76/10,905.92 = 3,374/x
  3. Step 3: Cross multiply
    7,271.76x = 10,905.92 × 3,374
  4. Step 4: Simplify right side
    7,271.76x = 36,796,574.08
  5. Step 5: Solve for x
    x = 36,796,574.08/7,271.76
  6. Step 6: Final answer
    x = 5,060.20

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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.