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Finding the Fourth Proportional to 7,709.42, 11,565.58 and 3,092.78

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Solution

The fourth proportional to 7,709.42, 11,565.58 and 3,092.78 is: 4,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.42 : 11,565.58 = 3,092.78 : x
  2. Step 2: Convert to fraction form
    7,709.42/11,565.58 = 3,092.78/x
  3. Step 3: Cross multiply
    7,709.42x = 11,565.58 × 3,092.78
  4. Step 4: Simplify right side
    7,709.42x = 35,769,794.51
  5. Step 5: Solve for x
    x = 35,769,794.51/7,709.42
  6. Step 6: Final answer
    x = 4,639.75

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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.