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Finding the Fourth Proportional to 7,771.35, 11,657.57 and 2,224.74

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Solution

The fourth proportional to 7,771.35, 11,657.57 and 2,224.74 is: 3,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.35 : 11,657.57 = 2,224.74 : x
  2. Step 2: Convert to fraction form
    7,771.35/11,657.57 = 2,224.74/x
  3. Step 3: Cross multiply
    7,771.35x = 11,657.57 × 2,224.74
  4. Step 4: Simplify right side
    7,771.35x = 25,935,051.16
  5. Step 5: Solve for x
    x = 25,935,051.16/7,771.35
  6. Step 6: Final answer
    x = 3,337.26

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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.