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Finding the Fourth Proportional to 10,008.24, 15,007.66 and 5,849.46

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Solution

The fourth proportional to 10,008.24, 15,007.66 and 5,849.46 is: 8,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.24 : 15,007.66 = 5,849.46 : x
  2. Step 2: Convert to fraction form
    10,008.24/15,007.66 = 5,849.46/x
  3. Step 3: Cross multiply
    10,008.24x = 15,007.66 × 5,849.46
  4. Step 4: Simplify right side
    10,008.24x = 87,786,706.86
  5. Step 5: Solve for x
    x = 87,786,706.86/10,008.24
  6. Step 6: Final answer
    x = 8,771.44

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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.