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Finding the Fourth Proportional to 8,146.02, 11,240.73 and 6,471.48

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Solution

The fourth proportional to 8,146.02, 11,240.73 and 6,471.48 is: 8,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.02 : 11,240.73 = 6,471.48 : x
  2. Step 2: Convert to fraction form
    8,146.02/11,240.73 = 6,471.48/x
  3. Step 3: Cross multiply
    8,146.02x = 11,240.73 × 6,471.48
  4. Step 4: Simplify right side
    8,146.02x = 72,744,159.38
  5. Step 5: Solve for x
    x = 72,744,159.38/8,146.02
  6. Step 6: Final answer
    x = 8,930.02

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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.