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Finding the Fourth Proportional to 11,280.31, 15,566.71 and 6,745.08

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Solution

The fourth proportional to 11,280.31, 15,566.71 and 6,745.08 is: 9,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.31 : 15,566.71 = 6,745.08 : x
  2. Step 2: Convert to fraction form
    11,280.31/15,566.71 = 6,745.08/x
  3. Step 3: Cross multiply
    11,280.31x = 15,566.71 × 6,745.08
  4. Step 4: Simplify right side
    11,280.31x = 104,998,704.29
  5. Step 5: Solve for x
    x = 104,998,704.29/11,280.31
  6. Step 6: Final answer
    x = 9,308.14

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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.