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Finding the Fourth Proportional to 8,562.32, 12,814.26 and 7,177.22

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Solution

The fourth proportional to 8,562.32, 12,814.26 and 7,177.22 is: 10,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.32 : 12,814.26 = 7,177.22 : x
  2. Step 2: Convert to fraction form
    8,562.32/12,814.26 = 7,177.22/x
  3. Step 3: Cross multiply
    8,562.32x = 12,814.26 × 7,177.22
  4. Step 4: Simplify right side
    8,562.32x = 91,970,763.16
  5. Step 5: Solve for x
    x = 91,970,763.16/8,562.32
  6. Step 6: Final answer
    x = 10,741.34

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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.