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Finding the Fourth Proportional to 7,009.83, 10,514.63 and 2,082.80

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Solution

The fourth proportional to 7,009.83, 10,514.63 and 2,082.80 is: 3,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.83 : 10,514.63 = 2,082.80 : x
  2. Step 2: Convert to fraction form
    7,009.83/10,514.63 = 2,082.80/x
  3. Step 3: Cross multiply
    7,009.83x = 10,514.63 × 2,082.80
  4. Step 4: Simplify right side
    7,009.83x = 21,899,808.38
  5. Step 5: Solve for x
    x = 21,899,808.38/7,009.83
  6. Step 6: Final answer
    x = 3,124.16

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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.