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Finding the Fourth Proportional to 7,656.66, 11,475.39 and 3,268.98

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Solution

The fourth proportional to 7,656.66, 11,475.39 and 3,268.98 is: 4,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.66 : 11,475.39 = 3,268.98 : x
  2. Step 2: Convert to fraction form
    7,656.66/11,475.39 = 3,268.98/x
  3. Step 3: Cross multiply
    7,656.66x = 11,475.39 × 3,268.98
  4. Step 4: Simplify right side
    7,656.66x = 37,512,820.40
  5. Step 5: Solve for x
    x = 37,512,820.40/7,656.66
  6. Step 6: Final answer
    x = 4,899.37

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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.