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Finding the Fourth Proportional to 10,007.52, 15,012.88 and 3,082.02

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Solution

The fourth proportional to 10,007.52, 15,012.88 and 3,082.02 is: 4,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.52 : 15,012.88 = 3,082.02 : x
  2. Step 2: Convert to fraction form
    10,007.52/15,012.88 = 3,082.02/x
  3. Step 3: Cross multiply
    10,007.52x = 15,012.88 × 3,082.02
  4. Step 4: Simplify right side
    10,007.52x = 46,269,996.42
  5. Step 5: Solve for x
    x = 46,269,996.42/10,007.52
  6. Step 6: Final answer
    x = 4,623.52

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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.