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Finding the Fourth Proportional to 7,447.82, 10,277.58 and 4,261.17

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Solution

The fourth proportional to 7,447.82, 10,277.58 and 4,261.17 is: 5,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.82 : 10,277.58 = 4,261.17 : x
  2. Step 2: Convert to fraction form
    7,447.82/10,277.58 = 4,261.17/x
  3. Step 3: Cross multiply
    7,447.82x = 10,277.58 × 4,261.17
  4. Step 4: Simplify right side
    7,447.82x = 43,794,570.09
  5. Step 5: Solve for x
    x = 43,794,570.09/7,447.82
  6. Step 6: Final answer
    x = 5,880.19

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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.