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Finding the Fourth Proportional to 10,067.65, 13,897.09 and 8,645.63

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Solution

The fourth proportional to 10,067.65, 13,897.09 and 8,645.63 is: 11,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.65 : 13,897.09 = 8,645.63 : x
  2. Step 2: Convert to fraction form
    10,067.65/13,897.09 = 8,645.63/x
  3. Step 3: Cross multiply
    10,067.65x = 13,897.09 × 8,645.63
  4. Step 4: Simplify right side
    10,067.65x = 120,149,117.71
  5. Step 5: Solve for x
    x = 120,149,117.71/10,067.65
  6. Step 6: Final answer
    x = 11,934.17

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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.