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Finding the Fourth Proportional to 7,859.42, 10,851.55 and 5,212.34

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Solution

The fourth proportional to 7,859.42, 10,851.55 and 5,212.34 is: 7,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.42 : 10,851.55 = 5,212.34 : x
  2. Step 2: Convert to fraction form
    7,859.42/10,851.55 = 5,212.34/x
  3. Step 3: Cross multiply
    7,859.42x = 10,851.55 × 5,212.34
  4. Step 4: Simplify right side
    7,859.42x = 56,561,900.84
  5. Step 5: Solve for x
    x = 56,561,900.84/7,859.42
  6. Step 6: Final answer
    x = 7,196.71

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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.