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Finding the Fourth Proportional to 9,087.90, 13,614.48 and 7,616.54

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Solution

The fourth proportional to 9,087.90, 13,614.48 and 7,616.54 is: 11,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.90 : 13,614.48 = 7,616.54 : x
  2. Step 2: Convert to fraction form
    9,087.90/13,614.48 = 7,616.54/x
  3. Step 3: Cross multiply
    9,087.90x = 13,614.48 × 7,616.54
  4. Step 4: Simplify right side
    9,087.90x = 103,695,231.50
  5. Step 5: Solve for x
    x = 103,695,231.50/9,087.90
  6. Step 6: Final answer
    x = 11,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.