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Finding the Fourth Proportional to 10,046.16, 13,864.50 and 6,067.17

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Solution

The fourth proportional to 10,046.16, 13,864.50 and 6,067.17 is: 8,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.16 : 13,864.50 = 6,067.17 : x
  2. Step 2: Convert to fraction form
    10,046.16/13,864.50 = 6,067.17/x
  3. Step 3: Cross multiply
    10,046.16x = 13,864.50 × 6,067.17
  4. Step 4: Simplify right side
    10,046.16x = 84,118,278.47
  5. Step 5: Solve for x
    x = 84,118,278.47/10,046.16
  6. Step 6: Final answer
    x = 8,373.18

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