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Finding the Fourth Proportional to 11,294.32, 15,586.38 and 6,578.90

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Solution

The fourth proportional to 11,294.32, 15,586.38 and 6,578.90 is: 9,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.32 : 15,586.38 = 6,578.90 : x
  2. Step 2: Convert to fraction form
    11,294.32/15,586.38 = 6,578.90/x
  3. Step 3: Cross multiply
    11,294.32x = 15,586.38 × 6,578.90
  4. Step 4: Simplify right side
    11,294.32x = 102,541,202.49
  5. Step 5: Solve for x
    x = 102,541,202.49/11,294.32
  6. Step 6: Final answer
    x = 9,079.01

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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.