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Finding the Fourth Proportional to 9,987.56, 13,782.81 and 5,511.28

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Solution

The fourth proportional to 9,987.56, 13,782.81 and 5,511.28 is: 7,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.56 : 13,782.81 = 5,511.28 : x
  2. Step 2: Convert to fraction form
    9,987.56/13,782.81 = 5,511.28/x
  3. Step 3: Cross multiply
    9,987.56x = 13,782.81 × 5,511.28
  4. Step 4: Simplify right side
    9,987.56x = 75,960,867.38
  5. Step 5: Solve for x
    x = 75,960,867.38/9,987.56
  6. Step 6: Final answer
    x = 7,605.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.