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Finding the Fourth Proportional to 9,987.82, 13,782.98 and 5,511.30

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Solution

The fourth proportional to 9,987.82, 13,782.98 and 5,511.30 is: 7,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.82 : 13,782.98 = 5,511.30 : x
  2. Step 2: Convert to fraction form
    9,987.82/13,782.98 = 5,511.30/x
  3. Step 3: Cross multiply
    9,987.82x = 13,782.98 × 5,511.30
  4. Step 4: Simplify right side
    9,987.82x = 75,962,137.67
  5. Step 5: Solve for x
    x = 75,962,137.67/9,987.82
  6. Step 6: Final answer
    x = 7,605.48

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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.