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Finding the Fourth Proportional to 11,023.90, 15,204.64 and 7,665.03

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Solution

The fourth proportional to 11,023.90, 15,204.64 and 7,665.03 is: 10,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.90 : 15,204.64 = 7,665.03 : x
  2. Step 2: Convert to fraction form
    11,023.90/15,204.64 = 7,665.03/x
  3. Step 3: Cross multiply
    11,023.90x = 15,204.64 × 7,665.03
  4. Step 4: Simplify right side
    11,023.90x = 116,543,945.72
  5. Step 5: Solve for x
    x = 116,543,945.72/11,023.90
  6. Step 6: Final answer
    x = 10,571.94

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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.