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Finding the Fourth Proportional to 7,846.18, 10,819.02 and 7,664.74

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Solution

The fourth proportional to 7,846.18, 10,819.02 and 7,664.74 is: 10,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.18 : 10,819.02 = 7,664.74 : x
  2. Step 2: Convert to fraction form
    7,846.18/10,819.02 = 7,664.74/x
  3. Step 3: Cross multiply
    7,846.18x = 10,819.02 × 7,664.74
  4. Step 4: Simplify right side
    7,846.18x = 82,924,975.35
  5. Step 5: Solve for x
    x = 82,924,975.35/7,846.18
  6. Step 6: Final answer
    x = 10,568.83

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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.