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Finding the Fourth Proportional to 7,510.75, 11,266.13 and 3,406.75

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Solution

The fourth proportional to 7,510.75, 11,266.13 and 3,406.75 is: 5,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.75 : 11,266.13 = 3,406.75 : x
  2. Step 2: Convert to fraction form
    7,510.75/11,266.13 = 3,406.75/x
  3. Step 3: Cross multiply
    7,510.75x = 11,266.13 × 3,406.75
  4. Step 4: Simplify right side
    7,510.75x = 38,380,888.38
  5. Step 5: Solve for x
    x = 38,380,888.38/7,510.75
  6. Step 6: Final answer
    x = 5,110.13

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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.