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Finding the Fourth Proportional to 10,661.24, 15,993.02 and 4,093

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Solution

The fourth proportional to 10,661.24, 15,993.02 and 4,093 is: 6,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.24 : 15,993.02 = 4,093 : x
  2. Step 2: Convert to fraction form
    10,661.24/15,993.02 = 4,093/x
  3. Step 3: Cross multiply
    10,661.24x = 15,993.02 × 4,093
  4. Step 4: Simplify right side
    10,661.24x = 65,459,430.86
  5. Step 5: Solve for x
    x = 65,459,430.86/10,661.24
  6. Step 6: Final answer
    x = 6,139.95

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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.