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Finding the Fourth Proportional to 12,116.39, 16,726.59 and 7,646.99

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Solution

The fourth proportional to 12,116.39, 16,726.59 and 7,646.99 is: 10,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.39 : 16,726.59 = 7,646.99 : x
  2. Step 2: Convert to fraction form
    12,116.39/16,726.59 = 7,646.99/x
  3. Step 3: Cross multiply
    12,116.39x = 16,726.59 × 7,646.99
  4. Step 4: Simplify right side
    12,116.39x = 127,907,982.83
  5. Step 5: Solve for x
    x = 127,907,982.83/12,116.39
  6. Step 6: Final answer
    x = 10,556.61

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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.