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Finding the Fourth Proportional to 6,957.10, 10,425.88 and 3,838.56

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Solution

The fourth proportional to 6,957.10, 10,425.88 and 3,838.56 is: 5,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.10 : 10,425.88 = 3,838.56 : x
  2. Step 2: Convert to fraction form
    6,957.10/10,425.88 = 3,838.56/x
  3. Step 3: Cross multiply
    6,957.10x = 10,425.88 × 3,838.56
  4. Step 4: Simplify right side
    6,957.10x = 40,020,365.93
  5. Step 5: Solve for x
    x = 40,020,365.93/6,957.10
  6. Step 6: Final answer
    x = 5,752.45

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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.