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Finding the Fourth Proportional to 8,146.93, 12,224.15 and 5,651.93

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Solution

The fourth proportional to 8,146.93, 12,224.15 and 5,651.93 is: 8,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.93 : 12,224.15 = 5,651.93 : x
  2. Step 2: Convert to fraction form
    8,146.93/12,224.15 = 5,651.93/x
  3. Step 3: Cross multiply
    8,146.93x = 12,224.15 × 5,651.93
  4. Step 4: Simplify right side
    8,146.93x = 69,090,040.11
  5. Step 5: Solve for x
    x = 69,090,040.11/8,146.93
  6. Step 6: Final answer
    x = 8,480.50

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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.