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Finding the Fourth Proportional to 11,170.34, 15,420.31 and 6,453.71

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Solution

The fourth proportional to 11,170.34, 15,420.31 and 6,453.71 is: 8,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.34 : 15,420.31 = 6,453.71 : x
  2. Step 2: Convert to fraction form
    11,170.34/15,420.31 = 6,453.71/x
  3. Step 3: Cross multiply
    11,170.34x = 15,420.31 × 6,453.71
  4. Step 4: Simplify right side
    11,170.34x = 99,518,208.85
  5. Step 5: Solve for x
    x = 99,518,208.85/11,170.34
  6. Step 6: Final answer
    x = 8,909.15

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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.