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Finding the Fourth Proportional to 10,782.68, 14,880.39 and 6,067.13

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Solution

The fourth proportional to 10,782.68, 14,880.39 and 6,067.13 is: 8,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.68 : 14,880.39 = 6,067.13 : x
  2. Step 2: Convert to fraction form
    10,782.68/14,880.39 = 6,067.13/x
  3. Step 3: Cross multiply
    10,782.68x = 14,880.39 × 6,067.13
  4. Step 4: Simplify right side
    10,782.68x = 90,281,260.58
  5. Step 5: Solve for x
    x = 90,281,260.58/10,782.68
  6. Step 6: Final answer
    x = 8,372.80

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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.