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Finding the Fourth Proportional to 10,797.10, 16,155.25 and 7,684.27

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Solution

The fourth proportional to 10,797.10, 16,155.25 and 7,684.27 is: 11,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.10 : 16,155.25 = 7,684.27 : x
  2. Step 2: Convert to fraction form
    10,797.10/16,155.25 = 7,684.27/x
  3. Step 3: Cross multiply
    10,797.10x = 16,155.25 × 7,684.27
  4. Step 4: Simplify right side
    10,797.10x = 124,141,243.32
  5. Step 5: Solve for x
    x = 124,141,243.32/10,797.10
  6. Step 6: Final answer
    x = 11,497.65

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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.