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Finding the Fourth Proportional to 11,366.16, 15,682.80 and 6,647.64

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Solution

The fourth proportional to 11,366.16, 15,682.80 and 6,647.64 is: 9,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.16 : 15,682.80 = 6,647.64 : x
  2. Step 2: Convert to fraction form
    11,366.16/15,682.80 = 6,647.64/x
  3. Step 3: Cross multiply
    11,366.16x = 15,682.80 × 6,647.64
  4. Step 4: Simplify right side
    11,366.16x = 104,253,608.59
  5. Step 5: Solve for x
    x = 104,253,608.59/11,366.16
  6. Step 6: Final answer
    x = 9,172.28

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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.