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Finding the Fourth Proportional to 10,572.15, 14,589.18 and 6,096.09

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Solution

The fourth proportional to 10,572.15, 14,589.18 and 6,096.09 is: 8,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.15 : 14,589.18 = 6,096.09 : x
  2. Step 2: Convert to fraction form
    10,572.15/14,589.18 = 6,096.09/x
  3. Step 3: Cross multiply
    10,572.15x = 14,589.18 × 6,096.09
  4. Step 4: Simplify right side
    10,572.15x = 88,936,954.31
  5. Step 5: Solve for x
    x = 88,936,954.31/10,572.15
  6. Step 6: Final answer
    x = 8,412.38

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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.