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Finding the Fourth Proportional to 8,128.85, 11,222.64 and 5,147.24

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Solution

The fourth proportional to 8,128.85, 11,222.64 and 5,147.24 is: 7,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.85 : 11,222.64 = 5,147.24 : x
  2. Step 2: Convert to fraction form
    8,128.85/11,222.64 = 5,147.24/x
  3. Step 3: Cross multiply
    8,128.85x = 11,222.64 × 5,147.24
  4. Step 4: Simplify right side
    8,128.85x = 57,765,565.40
  5. Step 5: Solve for x
    x = 57,765,565.40/8,128.85
  6. Step 6: Final answer
    x = 7,106.25

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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.