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Finding the Fourth Proportional to 11,616.39, 15,994.20 and 10,252.26

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Solution

The fourth proportional to 11,616.39, 15,994.20 and 10,252.26 is: 14,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.39 : 15,994.20 = 10,252.26 : x
  2. Step 2: Convert to fraction form
    11,616.39/15,994.20 = 10,252.26/x
  3. Step 3: Cross multiply
    11,616.39x = 15,994.20 × 10,252.26
  4. Step 4: Simplify right side
    11,616.39x = 163,976,696.89
  5. Step 5: Solve for x
    x = 163,976,696.89/11,616.39
  6. Step 6: Final answer
    x = 14,115.98

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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.