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Finding the Fourth Proportional to 10,045.83, 13,866.13 and 6,067.23

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Solution

The fourth proportional to 10,045.83, 13,866.13 and 6,067.23 is: 8,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.83 : 13,866.13 = 6,067.23 : x
  2. Step 2: Convert to fraction form
    10,045.83/13,866.13 = 6,067.23/x
  3. Step 3: Cross multiply
    10,045.83x = 13,866.13 × 6,067.23
  4. Step 4: Simplify right side
    10,045.83x = 84,128,999.92
  5. Step 5: Solve for x
    x = 84,128,999.92/10,045.83
  6. Step 6: Final answer
    x = 8,374.52

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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.