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Finding the Fourth Proportional to 12,060.50, 18,082.99 and 5,038.64

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Solution

The fourth proportional to 12,060.50, 18,082.99 and 5,038.64 is: 7,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,060.50 : 18,082.99 = 5,038.64 : x
  2. Step 2: Convert to fraction form
    12,060.50/18,082.99 = 5,038.64/x
  3. Step 3: Cross multiply
    12,060.50x = 18,082.99 × 5,038.64
  4. Step 4: Simplify right side
    12,060.50x = 91,113,561.13
  5. Step 5: Solve for x
    x = 91,113,561.13/12,060.50
  6. Step 6: Final answer
    x = 7,554.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.