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Finding the Fourth Proportional to 7,690.64, 11,535.95 and 5,092.97

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Solution

The fourth proportional to 7,690.64, 11,535.95 and 5,092.97 is: 7,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.64 : 11,535.95 = 5,092.97 : x
  2. Step 2: Convert to fraction form
    7,690.64/11,535.95 = 5,092.97/x
  3. Step 3: Cross multiply
    7,690.64x = 11,535.95 × 5,092.97
  4. Step 4: Simplify right side
    7,690.64x = 58,752,202.32
  5. Step 5: Solve for x
    x = 58,752,202.32/7,690.64
  6. Step 6: Final answer
    x = 7,639.45

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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.