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Finding the Fourth Proportional to 8,314.22, 11,447.43 and 7,052.66

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Solution

The fourth proportional to 8,314.22, 11,447.43 and 7,052.66 is: 9,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.22 : 11,447.43 = 7,052.66 : x
  2. Step 2: Convert to fraction form
    8,314.22/11,447.43 = 7,052.66/x
  3. Step 3: Cross multiply
    8,314.22x = 11,447.43 × 7,052.66
  4. Step 4: Simplify right side
    8,314.22x = 80,734,831.66
  5. Step 5: Solve for x
    x = 80,734,831.66/8,314.22
  6. Step 6: Final answer
    x = 9,710.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.