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Finding the Fourth Proportional to 7,838.06, 10,815.74 and 4,481.68

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Solution

The fourth proportional to 7,838.06, 10,815.74 and 4,481.68 is: 6,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.06 : 10,815.74 = 4,481.68 : x
  2. Step 2: Convert to fraction form
    7,838.06/10,815.74 = 4,481.68/x
  3. Step 3: Cross multiply
    7,838.06x = 10,815.74 × 4,481.68
  4. Step 4: Simplify right side
    7,838.06x = 48,472,685.64
  5. Step 5: Solve for x
    x = 48,472,685.64/7,838.06
  6. Step 6: Final answer
    x = 6,184.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.