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Finding the Fourth Proportional to 11,253.76, 15,530.20 and 6,538.36

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Solution

The fourth proportional to 11,253.76, 15,530.20 and 6,538.36 is: 9,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.76 : 15,530.20 = 6,538.36 : x
  2. Step 2: Convert to fraction form
    11,253.76/15,530.20 = 6,538.36/x
  3. Step 3: Cross multiply
    11,253.76x = 15,530.20 × 6,538.36
  4. Step 4: Simplify right side
    11,253.76x = 101,542,038.47
  5. Step 5: Solve for x
    x = 101,542,038.47/11,253.76
  6. Step 6: Final answer
    x = 9,022.94

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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.