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Finding the Fourth Proportional to 7,131.10, 9,840.99 and 3,987.25

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Solution

The fourth proportional to 7,131.10, 9,840.99 and 3,987.25 is: 5,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.10 : 9,840.99 = 3,987.25 : x
  2. Step 2: Convert to fraction form
    7,131.10/9,840.99 = 3,987.25/x
  3. Step 3: Cross multiply
    7,131.10x = 9,840.99 × 3,987.25
  4. Step 4: Simplify right side
    7,131.10x = 39,238,487.38
  5. Step 5: Solve for x
    x = 39,238,487.38/7,131.10
  6. Step 6: Final answer
    x = 5,502.45

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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.