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Finding the Fourth Proportional to 10,782.59, 14,880.87 and 6,067.76

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Solution

The fourth proportional to 10,782.59, 14,880.87 and 6,067.76 is: 8,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.59 : 14,880.87 = 6,067.76 : x
  2. Step 2: Convert to fraction form
    10,782.59/14,880.87 = 6,067.76/x
  3. Step 3: Cross multiply
    10,782.59x = 14,880.87 × 6,067.76
  4. Step 4: Simplify right side
    10,782.59x = 90,293,473.35
  5. Step 5: Solve for x
    x = 90,293,473.35/10,782.59
  6. Step 6: Final answer
    x = 8,374.01

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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.