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Finding the Fourth Proportional to 10,797.67, 16,120.76 and 9,137.38

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Solution

The fourth proportional to 10,797.67, 16,120.76 and 9,137.38 is: 13,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.67 : 16,120.76 = 9,137.38 : x
  2. Step 2: Convert to fraction form
    10,797.67/16,120.76 = 9,137.38/x
  3. Step 3: Cross multiply
    10,797.67x = 16,120.76 × 9,137.38
  4. Step 4: Simplify right side
    10,797.67x = 147,301,510.01
  5. Step 5: Solve for x
    x = 147,301,510.01/10,797.67
  6. Step 6: Final answer
    x = 13,641.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.