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Finding the Fourth Proportional to 7,715.57, 10,637.54 and 6,297.80

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Solution

The fourth proportional to 7,715.57, 10,637.54 and 6,297.80 is: 8,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.57 : 10,637.54 = 6,297.80 : x
  2. Step 2: Convert to fraction form
    7,715.57/10,637.54 = 6,297.80/x
  3. Step 3: Cross multiply
    7,715.57x = 10,637.54 × 6,297.80
  4. Step 4: Simplify right side
    7,715.57x = 66,993,099.41
  5. Step 5: Solve for x
    x = 66,993,099.41/7,715.57
  6. Step 6: Final answer
    x = 8,682.85

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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.