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Finding the Fourth Proportional to 11,027.64, 15,219.18 and 7,846.68

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Solution

The fourth proportional to 11,027.64, 15,219.18 and 7,846.68 is: 10,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.64 : 15,219.18 = 7,846.68 : x
  2. Step 2: Convert to fraction form
    11,027.64/15,219.18 = 7,846.68/x
  3. Step 3: Cross multiply
    11,027.64x = 15,219.18 × 7,846.68
  4. Step 4: Simplify right side
    11,027.64x = 119,420,035.32
  5. Step 5: Solve for x
    x = 119,420,035.32/11,027.64
  6. Step 6: Final answer
    x = 10,829.16

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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.