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Finding the Fourth Proportional to 7,156.74, 10,727.24 and 5,396.10

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Solution

The fourth proportional to 7,156.74, 10,727.24 and 5,396.10 is: 8,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.74 : 10,727.24 = 5,396.10 : x
  2. Step 2: Convert to fraction form
    7,156.74/10,727.24 = 5,396.10/x
  3. Step 3: Cross multiply
    7,156.74x = 10,727.24 × 5,396.10
  4. Step 4: Simplify right side
    7,156.74x = 57,885,255.73
  5. Step 5: Solve for x
    x = 57,885,255.73/7,156.74
  6. Step 6: Final answer
    x = 8,088.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.