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Finding the Fourth Proportional to 11,715.36, 16,170.96 and 7,740

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Solution

The fourth proportional to 11,715.36, 16,170.96 and 7,740 is: 10,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.36 : 16,170.96 = 7,740 : x
  2. Step 2: Convert to fraction form
    11,715.36/16,170.96 = 7,740/x
  3. Step 3: Cross multiply
    11,715.36x = 16,170.96 × 7,740
  4. Step 4: Simplify right side
    11,715.36x = 125,163,230.40
  5. Step 5: Solve for x
    x = 125,163,230.40/11,715.36
  6. Step 6: Final answer
    x = 10,683.69

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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.