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Finding the Fourth Proportional to 11,769.57, 17,657.42 and 4,376.16

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Solution

The fourth proportional to 11,769.57, 17,657.42 and 4,376.16 is: 6,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.57 : 17,657.42 = 4,376.16 : x
  2. Step 2: Convert to fraction form
    11,769.57/17,657.42 = 4,376.16/x
  3. Step 3: Cross multiply
    11,769.57x = 17,657.42 × 4,376.16
  4. Step 4: Simplify right side
    11,769.57x = 77,271,673.23
  5. Step 5: Solve for x
    x = 77,271,673.23/11,769.57
  6. Step 6: Final answer
    x = 6,565.38

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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.