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Finding the Fourth Proportional to 8,492.26, 12,747.03 and 6,029.86

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Solution

The fourth proportional to 8,492.26, 12,747.03 and 6,029.86 is: 9,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.26 : 12,747.03 = 6,029.86 : x
  2. Step 2: Convert to fraction form
    8,492.26/12,747.03 = 6,029.86/x
  3. Step 3: Cross multiply
    8,492.26x = 12,747.03 × 6,029.86
  4. Step 4: Simplify right side
    8,492.26x = 76,862,806.32
  5. Step 5: Solve for x
    x = 76,862,806.32/8,492.26
  6. Step 6: Final answer
    x = 9,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.