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Finding the Fourth Proportional to 10,046.13, 13,863.63 and 6,066.46

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Solution

The fourth proportional to 10,046.13, 13,863.63 and 6,066.46 is: 8,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.13 : 13,863.63 = 6,066.46 : x
  2. Step 2: Convert to fraction form
    10,046.13/13,863.63 = 6,066.46/x
  3. Step 3: Cross multiply
    10,046.13x = 13,863.63 × 6,066.46
  4. Step 4: Simplify right side
    10,046.13x = 84,103,156.85
  5. Step 5: Solve for x
    x = 84,103,156.85/10,046.13
  6. Step 6: Final answer
    x = 8,371.70

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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.