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Finding the Fourth Proportional to 10,888.29, 16,351.06 and 6,696.15

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Solution

The fourth proportional to 10,888.29, 16,351.06 and 6,696.15 is: 10,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.29 : 16,351.06 = 6,696.15 : x
  2. Step 2: Convert to fraction form
    10,888.29/16,351.06 = 6,696.15/x
  3. Step 3: Cross multiply
    10,888.29x = 16,351.06 × 6,696.15
  4. Step 4: Simplify right side
    10,888.29x = 109,489,208.04
  5. Step 5: Solve for x
    x = 109,489,208.04/10,888.29
  6. Step 6: Final answer
    x = 10,055.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.