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Finding the Fourth Proportional to 11,364.80, 15,677.96 and 6,825.20

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Solution

The fourth proportional to 11,364.80, 15,677.96 and 6,825.20 is: 9,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.80 : 15,677.96 = 6,825.20 : x
  2. Step 2: Convert to fraction form
    11,364.80/15,677.96 = 6,825.20/x
  3. Step 3: Cross multiply
    11,364.80x = 15,677.96 × 6,825.20
  4. Step 4: Simplify right side
    11,364.80x = 107,005,212.59
  5. Step 5: Solve for x
    x = 107,005,212.59/11,364.80
  6. Step 6: Final answer
    x = 9,415.49

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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.