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Finding the Fourth Proportional to 7,697.26, 11,545.72 and 2,503.13

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Solution

The fourth proportional to 7,697.26, 11,545.72 and 2,503.13 is: 3,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.26 : 11,545.72 = 2,503.13 : x
  2. Step 2: Convert to fraction form
    7,697.26/11,545.72 = 2,503.13/x
  3. Step 3: Cross multiply
    7,697.26x = 11,545.72 × 2,503.13
  4. Step 4: Simplify right side
    7,697.26x = 28,900,438.10
  5. Step 5: Solve for x
    x = 28,900,438.10/7,697.26
  6. Step 6: Final answer
    x = 3,754.64

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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.