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Finding the Fourth Proportional to 11,233.16, 15,504.26 and 7,505

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Solution

The fourth proportional to 11,233.16, 15,504.26 and 7,505 is: 10,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.16 : 15,504.26 = 7,505 : x
  2. Step 2: Convert to fraction form
    11,233.16/15,504.26 = 7,505/x
  3. Step 3: Cross multiply
    11,233.16x = 15,504.26 × 7,505
  4. Step 4: Simplify right side
    11,233.16x = 116,359,471.30
  5. Step 5: Solve for x
    x = 116,359,471.30/11,233.16
  6. Step 6: Final answer
    x = 10,358.57

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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.