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Finding the Fourth Proportional to 11,092.84, 15,311.51 and 6,845.20

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Solution

The fourth proportional to 11,092.84, 15,311.51 and 6,845.20 is: 9,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.84 : 15,311.51 = 6,845.20 : x
  2. Step 2: Convert to fraction form
    11,092.84/15,311.51 = 6,845.20/x
  3. Step 3: Cross multiply
    11,092.84x = 15,311.51 × 6,845.20
  4. Step 4: Simplify right side
    11,092.84x = 104,810,403.64
  5. Step 5: Solve for x
    x = 104,810,403.64/11,092.84
  6. Step 6: Final answer
    x = 9,448.47

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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.