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Finding the Fourth Proportional to 11,264.36, 15,541.86 and 6,548.84

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Solution

The fourth proportional to 11,264.36, 15,541.86 and 6,548.84 is: 9,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.36 : 15,541.86 = 6,548.84 : x
  2. Step 2: Convert to fraction form
    11,264.36/15,541.86 = 6,548.84/x
  3. Step 3: Cross multiply
    11,264.36x = 15,541.86 × 6,548.84
  4. Step 4: Simplify right side
    11,264.36x = 101,781,154.44
  5. Step 5: Solve for x
    x = 101,781,154.44/11,264.36
  6. Step 6: Final answer
    x = 9,035.68

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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.