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Finding the Fourth Proportional to 10,049.99, 15,064.83 and 7,269.89

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Solution

The fourth proportional to 10,049.99, 15,064.83 and 7,269.89 is: 10,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.99 : 15,064.83 = 7,269.89 : x
  2. Step 2: Convert to fraction form
    10,049.99/15,064.83 = 7,269.89/x
  3. Step 3: Cross multiply
    10,049.99x = 15,064.83 × 7,269.89
  4. Step 4: Simplify right side
    10,049.99x = 109,519,581.64
  5. Step 5: Solve for x
    x = 109,519,581.64/10,049.99
  6. Step 6: Final answer
    x = 10,897.49

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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.