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Finding the Fourth Proportional to 7,463.68, 10,288.02 and 6,266.30

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Solution

The fourth proportional to 7,463.68, 10,288.02 and 6,266.30 is: 8,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.68 : 10,288.02 = 6,266.30 : x
  2. Step 2: Convert to fraction form
    7,463.68/10,288.02 = 6,266.30/x
  3. Step 3: Cross multiply
    7,463.68x = 10,288.02 × 6,266.30
  4. Step 4: Simplify right side
    7,463.68x = 64,467,819.73
  5. Step 5: Solve for x
    x = 64,467,819.73/7,463.68
  6. Step 6: Final answer
    x = 8,637.54

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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.