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Finding the Fourth Proportional to 7,736.46, 10,675.95 and 4,199.64

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Solution

The fourth proportional to 7,736.46, 10,675.95 and 4,199.64 is: 5,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.46 : 10,675.95 = 4,199.64 : x
  2. Step 2: Convert to fraction form
    7,736.46/10,675.95 = 4,199.64/x
  3. Step 3: Cross multiply
    7,736.46x = 10,675.95 × 4,199.64
  4. Step 4: Simplify right side
    7,736.46x = 44,835,146.66
  5. Step 5: Solve for x
    x = 44,835,146.66/7,736.46
  6. Step 6: Final answer
    x = 5,795.31

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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.