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Finding the Fourth Proportional to 11,287.45, 15,577.23 and 6,811.12

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Solution

The fourth proportional to 11,287.45, 15,577.23 and 6,811.12 is: 9,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.45 : 15,577.23 = 6,811.12 : x
  2. Step 2: Convert to fraction form
    11,287.45/15,577.23 = 6,811.12/x
  3. Step 3: Cross multiply
    11,287.45x = 15,577.23 × 6,811.12
  4. Step 4: Simplify right side
    11,287.45x = 106,098,427.81
  5. Step 5: Solve for x
    x = 106,098,427.81/11,287.45
  6. Step 6: Final answer
    x = 9,399.68

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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.