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Finding the Fourth Proportional to 8,138.46, 11,226.42 and 5,776.50

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Solution

The fourth proportional to 8,138.46, 11,226.42 and 5,776.50 is: 7,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.46 : 11,226.42 = 5,776.50 : x
  2. Step 2: Convert to fraction form
    8,138.46/11,226.42 = 5,776.50/x
  3. Step 3: Cross multiply
    8,138.46x = 11,226.42 × 5,776.50
  4. Step 4: Simplify right side
    8,138.46x = 64,849,415.13
  5. Step 5: Solve for x
    x = 64,849,415.13/8,138.46
  6. Step 6: Final answer
    x = 7,968.27

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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.