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Finding the Fourth Proportional to 10,007.66, 15,011.49 and 3,082.16

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Solution

The fourth proportional to 10,007.66, 15,011.49 and 3,082.16 is: 4,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.66 : 15,011.49 = 3,082.16 : x
  2. Step 2: Convert to fraction form
    10,007.66/15,011.49 = 3,082.16/x
  3. Step 3: Cross multiply
    10,007.66x = 15,011.49 × 3,082.16
  4. Step 4: Simplify right side
    10,007.66x = 46,267,738.96
  5. Step 5: Solve for x
    x = 46,267,738.96/10,007.66
  6. Step 6: Final answer
    x = 4,623.23

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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.