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Finding the Fourth Proportional to 6,785.62, 10,174.02 and 2,838.76

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Solution

The fourth proportional to 6,785.62, 10,174.02 and 2,838.76 is: 4,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.62 : 10,174.02 = 2,838.76 : x
  2. Step 2: Convert to fraction form
    6,785.62/10,174.02 = 2,838.76/x
  3. Step 3: Cross multiply
    6,785.62x = 10,174.02 × 2,838.76
  4. Step 4: Simplify right side
    6,785.62x = 28,881,601.02
  5. Step 5: Solve for x
    x = 28,881,601.02/6,785.62
  6. Step 6: Final answer
    x = 4,256.30

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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.