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Finding the Fourth Proportional to 7,696.40, 11,545.21 and 2,431.82

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Solution

The fourth proportional to 7,696.40, 11,545.21 and 2,431.82 is: 3,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.40 : 11,545.21 = 2,431.82 : x
  2. Step 2: Convert to fraction form
    7,696.40/11,545.21 = 2,431.82/x
  3. Step 3: Cross multiply
    7,696.40x = 11,545.21 × 2,431.82
  4. Step 4: Simplify right side
    7,696.40x = 28,075,802.70
  5. Step 5: Solve for x
    x = 28,075,802.70/7,696.40
  6. Step 6: Final answer
    x = 3,647.91

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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.