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Finding the Fourth Proportional to 11,270.31, 15,543.59 and 8,444.31

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Solution

The fourth proportional to 11,270.31, 15,543.59 and 8,444.31 is: 11,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.31 : 15,543.59 = 8,444.31 : x
  2. Step 2: Convert to fraction form
    11,270.31/15,543.59 = 8,444.31/x
  3. Step 3: Cross multiply
    11,270.31x = 15,543.59 × 8,444.31
  4. Step 4: Simplify right side
    11,270.31x = 131,254,850.25
  5. Step 5: Solve for x
    x = 131,254,850.25/11,270.31
  6. Step 6: Final answer
    x = 11,646.07

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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.