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Finding the Fourth Proportional to 7,116.32, 9,813.12 and 5,136.32

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Solution

The fourth proportional to 7,116.32, 9,813.12 and 5,136.32 is: 7,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.32 : 9,813.12 = 5,136.32 : x
  2. Step 2: Convert to fraction form
    7,116.32/9,813.12 = 5,136.32/x
  3. Step 3: Cross multiply
    7,116.32x = 9,813.12 × 5,136.32
  4. Step 4: Simplify right side
    7,116.32x = 50,403,324.52
  5. Step 5: Solve for x
    x = 50,403,324.52/7,116.32
  6. Step 6: Final answer
    x = 7,082.78

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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.