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Finding the Fourth Proportional to 8,572.32, 12,829.26 and 7,187.22

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Solution

The fourth proportional to 8,572.32, 12,829.26 and 7,187.22 is: 10,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.32 : 12,829.26 = 7,187.22 : x
  2. Step 2: Convert to fraction form
    8,572.32/12,829.26 = 7,187.22/x
  3. Step 3: Cross multiply
    8,572.32x = 12,829.26 × 7,187.22
  4. Step 4: Simplify right side
    8,572.32x = 92,206,714.06
  5. Step 5: Solve for x
    x = 92,206,714.06/8,572.32
  6. Step 6: Final answer
    x = 10,756.33

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