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Finding the Fourth Proportional to 11,299.68, 16,966.53 and 6,935.40

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Solution

The fourth proportional to 11,299.68, 16,966.53 and 6,935.40 is: 10,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.68 : 16,966.53 = 6,935.40 : x
  2. Step 2: Convert to fraction form
    11,299.68/16,966.53 = 6,935.40/x
  3. Step 3: Cross multiply
    11,299.68x = 16,966.53 × 6,935.40
  4. Step 4: Simplify right side
    11,299.68x = 117,669,672.16
  5. Step 5: Solve for x
    x = 117,669,672.16/11,299.68
  6. Step 6: Final answer
    x = 10,413.54

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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.