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Finding the Fourth Proportional to 7,859.30, 11,777.07 and 5,257.58

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Solution

The fourth proportional to 7,859.30, 11,777.07 and 5,257.58 is: 7,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.30 : 11,777.07 = 5,257.58 : x
  2. Step 2: Convert to fraction form
    7,859.30/11,777.07 = 5,257.58/x
  3. Step 3: Cross multiply
    7,859.30x = 11,777.07 × 5,257.58
  4. Step 4: Simplify right side
    7,859.30x = 61,918,887.69
  5. Step 5: Solve for x
    x = 61,918,887.69/7,859.30
  6. Step 6: Final answer
    x = 7,878.42

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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.