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Finding the Fourth Proportional to 7,698.02, 11,486.57 and 7,227.81

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Solution

The fourth proportional to 7,698.02, 11,486.57 and 7,227.81 is: 10,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.02 : 11,486.57 = 7,227.81 : x
  2. Step 2: Convert to fraction form
    7,698.02/11,486.57 = 7,227.81/x
  3. Step 3: Cross multiply
    7,698.02x = 11,486.57 × 7,227.81
  4. Step 4: Simplify right side
    7,698.02x = 83,022,709.37
  5. Step 5: Solve for x
    x = 83,022,709.37/7,698.02
  6. Step 6: Final answer
    x = 10,784.95

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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.