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Finding the Fourth Proportional to 10,092.45, 13,918.05 and 7,698.18

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Solution

The fourth proportional to 10,092.45, 13,918.05 and 7,698.18 is: 10,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.45 : 13,918.05 = 7,698.18 : x
  2. Step 2: Convert to fraction form
    10,092.45/13,918.05 = 7,698.18/x
  3. Step 3: Cross multiply
    10,092.45x = 13,918.05 × 7,698.18
  4. Step 4: Simplify right side
    10,092.45x = 107,143,654.15
  5. Step 5: Solve for x
    x = 107,143,654.15/10,092.45
  6. Step 6: Final answer
    x = 10,616.22

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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.