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Finding the Fourth Proportional to 12,711.36, 19,065.83 and 7,778.46

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Solution

The fourth proportional to 12,711.36, 19,065.83 and 7,778.46 is: 11,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.36 : 19,065.83 = 7,778.46 : x
  2. Step 2: Convert to fraction form
    12,711.36/19,065.83 = 7,778.46/x
  3. Step 3: Cross multiply
    12,711.36x = 19,065.83 × 7,778.46
  4. Step 4: Simplify right side
    12,711.36x = 148,302,757.13
  5. Step 5: Solve for x
    x = 148,302,757.13/12,711.36
  6. Step 6: Final answer
    x = 11,666.95

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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.