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Finding the Fourth Proportional to 11,160.20, 15,401.06 and 6,445.96

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Solution

The fourth proportional to 11,160.20, 15,401.06 and 6,445.96 is: 8,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.20 : 15,401.06 = 6,445.96 : x
  2. Step 2: Convert to fraction form
    11,160.20/15,401.06 = 6,445.96/x
  3. Step 3: Cross multiply
    11,160.20x = 15,401.06 × 6,445.96
  4. Step 4: Simplify right side
    11,160.20x = 99,274,616.72
  5. Step 5: Solve for x
    x = 99,274,616.72/11,160.20
  6. Step 6: Final answer
    x = 8,895.42

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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.