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Finding the Fourth Proportional to 8,154.92, 11,253.12 and 4,619

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Solution

The fourth proportional to 8,154.92, 11,253.12 and 4,619 is: 6,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.92 : 11,253.12 = 4,619 : x
  2. Step 2: Convert to fraction form
    8,154.92/11,253.12 = 4,619/x
  3. Step 3: Cross multiply
    8,154.92x = 11,253.12 × 4,619
  4. Step 4: Simplify right side
    8,154.92x = 51,978,161.28
  5. Step 5: Solve for x
    x = 51,978,161.28/8,154.92
  6. Step 6: Final answer
    x = 6,373.84

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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.