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Finding the Fourth Proportional to 11,032.56, 15,234.66 and 7,504.20

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Solution

The fourth proportional to 11,032.56, 15,234.66 and 7,504.20 is: 10,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.56 : 15,234.66 = 7,504.20 : x
  2. Step 2: Convert to fraction form
    11,032.56/15,234.66 = 7,504.20/x
  3. Step 3: Cross multiply
    11,032.56x = 15,234.66 × 7,504.20
  4. Step 4: Simplify right side
    11,032.56x = 114,323,935.57
  5. Step 5: Solve for x
    x = 114,323,935.57/11,032.56
  6. Step 6: Final answer
    x = 10,362.41

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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.