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Finding the Fourth Proportional to 8,095.14, 11,168.28 and 5,438.34

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Solution

The fourth proportional to 8,095.14, 11,168.28 and 5,438.34 is: 7,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.14 : 11,168.28 = 5,438.34 : x
  2. Step 2: Convert to fraction form
    8,095.14/11,168.28 = 5,438.34/x
  3. Step 3: Cross multiply
    8,095.14x = 11,168.28 × 5,438.34
  4. Step 4: Simplify right side
    8,095.14x = 60,736,903.86
  5. Step 5: Solve for x
    x = 60,736,903.86/8,095.14
  6. Step 6: Final answer
    x = 7,502.88

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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.