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Finding the Fourth Proportional to 10,092.67, 13,924.71 and 7,110.15

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Solution

The fourth proportional to 10,092.67, 13,924.71 and 7,110.15 is: 9,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.67 : 13,924.71 = 7,110.15 : x
  2. Step 2: Convert to fraction form
    10,092.67/13,924.71 = 7,110.15/x
  3. Step 3: Cross multiply
    10,092.67x = 13,924.71 × 7,110.15
  4. Step 4: Simplify right side
    10,092.67x = 99,006,724.59
  5. Step 5: Solve for x
    x = 99,006,724.59/10,092.67
  6. Step 6: Final answer
    x = 9,809.77

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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.