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Finding the Fourth Proportional to 7,009.45, 10,514.07 and 2,082.42

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Solution

The fourth proportional to 7,009.45, 10,514.07 and 2,082.42 is: 3,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.45 : 10,514.07 = 2,082.42 : x
  2. Step 2: Convert to fraction form
    7,009.45/10,514.07 = 2,082.42/x
  3. Step 3: Cross multiply
    7,009.45x = 10,514.07 × 2,082.42
  4. Step 4: Simplify right side
    7,009.45x = 21,894,709.65
  5. Step 5: Solve for x
    x = 21,894,709.65/7,009.45
  6. Step 6: Final answer
    x = 3,123.60

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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.