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Finding the Fourth Proportional to 8,027.16, 12,047.98 and 4,743.24

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Solution

The fourth proportional to 8,027.16, 12,047.98 and 4,743.24 is: 7,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.16 : 12,047.98 = 4,743.24 : x
  2. Step 2: Convert to fraction form
    8,027.16/12,047.98 = 4,743.24/x
  3. Step 3: Cross multiply
    8,027.16x = 12,047.98 × 4,743.24
  4. Step 4: Simplify right side
    8,027.16x = 57,146,460.66
  5. Step 5: Solve for x
    x = 57,146,460.66/8,027.16
  6. Step 6: Final answer
    x = 7,119.14

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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.