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Finding the Fourth Proportional to 11,302.26, 15,593.99 and 6,521.87

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Solution

The fourth proportional to 11,302.26, 15,593.99 and 6,521.87 is: 8,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.26 : 15,593.99 = 6,521.87 : x
  2. Step 2: Convert to fraction form
    11,302.26/15,593.99 = 6,521.87/x
  3. Step 3: Cross multiply
    11,302.26x = 15,593.99 × 6,521.87
  4. Step 4: Simplify right side
    11,302.26x = 101,702,047.93
  5. Step 5: Solve for x
    x = 101,702,047.93/11,302.26
  6. Step 6: Final answer
    x = 8,998.38

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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.