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Finding the Fourth Proportional to 12,858.30, 19,287.45 and 7,911.90

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Solution

The fourth proportional to 12,858.30, 19,287.45 and 7,911.90 is: 11,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.30 : 19,287.45 = 7,911.90 : x
  2. Step 2: Convert to fraction form
    12,858.30/19,287.45 = 7,911.90/x
  3. Step 3: Cross multiply
    12,858.30x = 19,287.45 × 7,911.90
  4. Step 4: Simplify right side
    12,858.30x = 152,600,375.66
  5. Step 5: Solve for x
    x = 152,600,375.66/12,858.30
  6. Step 6: Final answer
    x = 11,867.85

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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.