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Finding the Fourth Proportional to 7,082.07, 9,764.22 and 4,428.51

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Solution

The fourth proportional to 7,082.07, 9,764.22 and 4,428.51 is: 6,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.07 : 9,764.22 = 4,428.51 : x
  2. Step 2: Convert to fraction form
    7,082.07/9,764.22 = 4,428.51/x
  3. Step 3: Cross multiply
    7,082.07x = 9,764.22 × 4,428.51
  4. Step 4: Simplify right side
    7,082.07x = 43,240,945.91
  5. Step 5: Solve for x
    x = 43,240,945.91/7,082.07
  6. Step 6: Final answer
    x = 6,105.69

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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.