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Finding the Fourth Proportional to 7,656.39, 11,485.04 and 2,974.84

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Solution

The fourth proportional to 7,656.39, 11,485.04 and 2,974.84 is: 4,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.39 : 11,485.04 = 2,974.84 : x
  2. Step 2: Convert to fraction form
    7,656.39/11,485.04 = 2,974.84/x
  3. Step 3: Cross multiply
    7,656.39x = 11,485.04 × 2,974.84
  4. Step 4: Simplify right side
    7,656.39x = 34,166,112.81
  5. Step 5: Solve for x
    x = 34,166,112.81/7,656.39
  6. Step 6: Final answer
    x = 4,462.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.