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Finding the Fourth Proportional to 8,082.90, 11,154.29 and 4,497.71

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Solution

The fourth proportional to 8,082.90, 11,154.29 and 4,497.71 is: 6,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.90 : 11,154.29 = 4,497.71 : x
  2. Step 2: Convert to fraction form
    8,082.90/11,154.29 = 4,497.71/x
  3. Step 3: Cross multiply
    8,082.90x = 11,154.29 × 4,497.71
  4. Step 4: Simplify right side
    8,082.90x = 50,168,683.42
  5. Step 5: Solve for x
    x = 50,168,683.42/8,082.90
  6. Step 6: Final answer
    x = 6,206.77

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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.