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Finding the Fourth Proportional to 7,736.96, 10,635.94 and 6,656.28

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Solution

The fourth proportional to 7,736.96, 10,635.94 and 6,656.28 is: 9,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.96 : 10,635.94 = 6,656.28 : x
  2. Step 2: Convert to fraction form
    7,736.96/10,635.94 = 6,656.28/x
  3. Step 3: Cross multiply
    7,736.96x = 10,635.94 × 6,656.28
  4. Step 4: Simplify right side
    7,736.96x = 70,795,851.23
  5. Step 5: Solve for x
    x = 70,795,851.23/7,736.96
  6. Step 6: Final answer
    x = 9,150.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.