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Finding the Fourth Proportional to 11,499.95, 15,867.11 and 7,022.07

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Solution

The fourth proportional to 11,499.95, 15,867.11 and 7,022.07 is: 9,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.95 : 15,867.11 = 7,022.07 : x
  2. Step 2: Convert to fraction form
    11,499.95/15,867.11 = 7,022.07/x
  3. Step 3: Cross multiply
    11,499.95x = 15,867.11 × 7,022.07
  4. Step 4: Simplify right side
    11,499.95x = 111,419,957.12
  5. Step 5: Solve for x
    x = 111,419,957.12/11,499.95
  6. Step 6: Final answer
    x = 9,688.73

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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.