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Finding the Fourth Proportional to 7,506.14, 11,266.26 and 3,811.02

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Solution

The fourth proportional to 7,506.14, 11,266.26 and 3,811.02 is: 5,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.14 : 11,266.26 = 3,811.02 : x
  2. Step 2: Convert to fraction form
    7,506.14/11,266.26 = 3,811.02/x
  3. Step 3: Cross multiply
    7,506.14x = 11,266.26 × 3,811.02
  4. Step 4: Simplify right side
    7,506.14x = 42,935,942.19
  5. Step 5: Solve for x
    x = 42,935,942.19/7,506.14
  6. Step 6: Final answer
    x = 5,720.11

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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.