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Finding the Fourth Proportional to 12,711.83, 19,059.53 and 5,314.32

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Solution

The fourth proportional to 12,711.83, 19,059.53 and 5,314.32 is: 7,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.83 : 19,059.53 = 5,314.32 : x
  2. Step 2: Convert to fraction form
    12,711.83/19,059.53 = 5,314.32/x
  3. Step 3: Cross multiply
    12,711.83x = 19,059.53 × 5,314.32
  4. Step 4: Simplify right side
    12,711.83x = 101,288,414.90
  5. Step 5: Solve for x
    x = 101,288,414.90/12,711.83
  6. Step 6: Final answer
    x = 7,968.05

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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.