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Finding the Fourth Proportional to 8,128.14, 11,216.88 and 4,402.14

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Solution

The fourth proportional to 8,128.14, 11,216.88 and 4,402.14 is: 6,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.14 : 11,216.88 = 4,402.14 : x
  2. Step 2: Convert to fraction form
    8,128.14/11,216.88 = 4,402.14/x
  3. Step 3: Cross multiply
    8,128.14x = 11,216.88 × 4,402.14
  4. Step 4: Simplify right side
    8,128.14x = 49,378,276.12
  5. Step 5: Solve for x
    x = 49,378,276.12/8,128.14
  6. Step 6: Final answer
    x = 6,074.98

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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.