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Finding the Fourth Proportional to 7,415.72, 11,126.82 and 5,769.80

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Solution

The fourth proportional to 7,415.72, 11,126.82 and 5,769.80 is: 8,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.72 : 11,126.82 = 5,769.80 : x
  2. Step 2: Convert to fraction form
    7,415.72/11,126.82 = 5,769.80/x
  3. Step 3: Cross multiply
    7,415.72x = 11,126.82 × 5,769.80
  4. Step 4: Simplify right side
    7,415.72x = 64,199,526.04
  5. Step 5: Solve for x
    x = 64,199,526.04/7,415.72
  6. Step 6: Final answer
    x = 8,657.22

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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.