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Finding the Fourth Proportional to 8,992.92, 12,410.22 and 5,014.02

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Solution

The fourth proportional to 8,992.92, 12,410.22 and 5,014.02 is: 6,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.92 : 12,410.22 = 5,014.02 : x
  2. Step 2: Convert to fraction form
    8,992.92/12,410.22 = 5,014.02/x
  3. Step 3: Cross multiply
    8,992.92x = 12,410.22 × 5,014.02
  4. Step 4: Simplify right side
    8,992.92x = 62,225,091.28
  5. Step 5: Solve for x
    x = 62,225,091.28/8,992.92
  6. Step 6: Final answer
    x = 6,919.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.