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Finding the Fourth Proportional to 6,782, 9,359.98 and 3,987.50

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Solution

The fourth proportional to 6,782, 9,359.98 and 3,987.50 is: 5,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 9,359.98 = 3,987.50 : x
  2. Step 2: Convert to fraction form
    6,782/9,359.98 = 3,987.50/x
  3. Step 3: Cross multiply
    6,782x = 9,359.98 × 3,987.50
  4. Step 4: Simplify right side
    6,782x = 37,322,920.25
  5. Step 5: Solve for x
    x = 37,322,920.25/6,782
  6. Step 6: Final answer
    x = 5,503.23

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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.