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Finding the Fourth Proportional to 12,716.40, 17,545.44 and 7,683.60

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Solution

The fourth proportional to 12,716.40, 17,545.44 and 7,683.60 is: 10,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.40 : 17,545.44 = 7,683.60 : x
  2. Step 2: Convert to fraction form
    12,716.40/17,545.44 = 7,683.60/x
  3. Step 3: Cross multiply
    12,716.40x = 17,545.44 × 7,683.60
  4. Step 4: Simplify right side
    12,716.40x = 134,812,142.78
  5. Step 5: Solve for x
    x = 134,812,142.78/12,716.40
  6. Step 6: Final answer
    x = 10,601.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.