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Finding the Fourth Proportional to 7,771.42, 10,717.95 and 5,252.86

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Solution

The fourth proportional to 7,771.42, 10,717.95 and 5,252.86 is: 7,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.42 : 10,717.95 = 5,252.86 : x
  2. Step 2: Convert to fraction form
    7,771.42/10,717.95 = 5,252.86/x
  3. Step 3: Cross multiply
    7,771.42x = 10,717.95 × 5,252.86
  4. Step 4: Simplify right side
    7,771.42x = 56,299,890.84
  5. Step 5: Solve for x
    x = 56,299,890.84/7,771.42
  6. Step 6: Final answer
    x = 7,244.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.