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Finding the Fourth Proportional to 8,017.92, 11,064.76 and 4,481.20

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Solution

The fourth proportional to 8,017.92, 11,064.76 and 4,481.20 is: 6,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.92 : 11,064.76 = 4,481.20 : x
  2. Step 2: Convert to fraction form
    8,017.92/11,064.76 = 4,481.20/x
  3. Step 3: Cross multiply
    8,017.92x = 11,064.76 × 4,481.20
  4. Step 4: Simplify right side
    8,017.92x = 49,583,402.51
  5. Step 5: Solve for x
    x = 49,583,402.51/8,017.92
  6. Step 6: Final answer
    x = 6,184.07

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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.