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Finding the Fourth Proportional to 6,838.60, 10,252.06 and 3,139.56

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Solution

The fourth proportional to 6,838.60, 10,252.06 and 3,139.56 is: 4,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.60 : 10,252.06 = 3,139.56 : x
  2. Step 2: Convert to fraction form
    6,838.60/10,252.06 = 3,139.56/x
  3. Step 3: Cross multiply
    6,838.60x = 10,252.06 × 3,139.56
  4. Step 4: Simplify right side
    6,838.60x = 32,186,957.49
  5. Step 5: Solve for x
    x = 32,186,957.49/6,838.60
  6. Step 6: Final answer
    x = 4,706.66

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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.