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Finding the Fourth Proportional to 11,272.31, 16,907.65 and 5,032.88

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Solution

The fourth proportional to 11,272.31, 16,907.65 and 5,032.88 is: 7,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.31 : 16,907.65 = 5,032.88 : x
  2. Step 2: Convert to fraction form
    11,272.31/16,907.65 = 5,032.88/x
  3. Step 3: Cross multiply
    11,272.31x = 16,907.65 × 5,032.88
  4. Step 4: Simplify right side
    11,272.31x = 85,094,173.53
  5. Step 5: Solve for x
    x = 85,094,173.53/11,272.31
  6. Step 6: Final answer
    x = 7,548.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.