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Finding the Fourth Proportional to 7,838.95, 10,819.83 and 4,853.09

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Solution

The fourth proportional to 7,838.95, 10,819.83 and 4,853.09 is: 6,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.95 : 10,819.83 = 4,853.09 : x
  2. Step 2: Convert to fraction form
    7,838.95/10,819.83 = 4,853.09/x
  3. Step 3: Cross multiply
    7,838.95x = 10,819.83 × 4,853.09
  4. Step 4: Simplify right side
    7,838.95x = 52,509,596.29
  5. Step 5: Solve for x
    x = 52,509,596.29/7,838.95
  6. Step 6: Final answer
    x = 6,698.55

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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.