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Finding the Fourth Proportional to 8,046, 11,103.51 and 4,691.13

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Solution

The fourth proportional to 8,046, 11,103.51 and 4,691.13 is: 6,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 11,103.51 = 4,691.13 : x
  2. Step 2: Convert to fraction form
    8,046/11,103.51 = 4,691.13/x
  3. Step 3: Cross multiply
    8,046x = 11,103.51 × 4,691.13
  4. Step 4: Simplify right side
    8,046x = 52,088,008.87
  5. Step 5: Solve for x
    x = 52,088,008.87/8,046
  6. Step 6: Final answer
    x = 6,473.78

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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.