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Finding the Fourth Proportional to 6,719.10, 10,082.10 and 5,085.66

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Solution

The fourth proportional to 6,719.10, 10,082.10 and 5,085.66 is: 7,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.10 : 10,082.10 = 5,085.66 : x
  2. Step 2: Convert to fraction form
    6,719.10/10,082.10 = 5,085.66/x
  3. Step 3: Cross multiply
    6,719.10x = 10,082.10 × 5,085.66
  4. Step 4: Simplify right side
    6,719.10x = 51,274,132.69
  5. Step 5: Solve for x
    x = 51,274,132.69/6,719.10
  6. Step 6: Final answer
    x = 7,631.10

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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.