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Finding the Fourth Proportional to 6,737.72, 10,106.58 and 3,272

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Solution

The fourth proportional to 6,737.72, 10,106.58 and 3,272 is: 4,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.72 : 10,106.58 = 3,272 : x
  2. Step 2: Convert to fraction form
    6,737.72/10,106.58 = 3,272/x
  3. Step 3: Cross multiply
    6,737.72x = 10,106.58 × 3,272
  4. Step 4: Simplify right side
    6,737.72x = 33,068,729.76
  5. Step 5: Solve for x
    x = 33,068,729.76/6,737.72
  6. Step 6: Final answer
    x = 4,908.00

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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.