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Finding the Fourth Proportional to 7,506.74, 11,266.56 and 3,066.77

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Solution

The fourth proportional to 7,506.74, 11,266.56 and 3,066.77 is: 4,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.74 : 11,266.56 = 3,066.77 : x
  2. Step 2: Convert to fraction form
    7,506.74/11,266.56 = 3,066.77/x
  3. Step 3: Cross multiply
    7,506.74x = 11,266.56 × 3,066.77
  4. Step 4: Simplify right side
    7,506.74x = 34,551,891.88
  5. Step 5: Solve for x
    x = 34,551,891.88/7,506.74
  6. Step 6: Final answer
    x = 4,602.79

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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.