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Finding the Fourth Proportional to 7,516.75, 11,287.94 and 6,266.06

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Solution

The fourth proportional to 7,516.75, 11,287.94 and 6,266.06 is: 9,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.75 : 11,287.94 = 6,266.06 : x
  2. Step 2: Convert to fraction form
    7,516.75/11,287.94 = 6,266.06/x
  3. Step 3: Cross multiply
    7,516.75x = 11,287.94 × 6,266.06
  4. Step 4: Simplify right side
    7,516.75x = 70,730,899.12
  5. Step 5: Solve for x
    x = 70,730,899.12/7,516.75
  6. Step 6: Final answer
    x = 9,409.77

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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.