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Finding the Fourth Proportional to 10,634.54, 14,660.44 and 7,480.94

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Solution

The fourth proportional to 10,634.54, 14,660.44 and 7,480.94 is: 10,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.54 : 14,660.44 = 7,480.94 : x
  2. Step 2: Convert to fraction form
    10,634.54/14,660.44 = 7,480.94/x
  3. Step 3: Cross multiply
    10,634.54x = 14,660.44 × 7,480.94
  4. Step 4: Simplify right side
    10,634.54x = 109,673,872.01
  5. Step 5: Solve for x
    x = 109,673,872.01/10,634.54
  6. Step 6: Final answer
    x = 10,312.99

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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.