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Finding the Fourth Proportional to 10,178.94, 15,273 and 6,480.21

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Solution

The fourth proportional to 10,178.94, 15,273 and 6,480.21 is: 9,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.94 : 15,273 = 6,480.21 : x
  2. Step 2: Convert to fraction form
    10,178.94/15,273 = 6,480.21/x
  3. Step 3: Cross multiply
    10,178.94x = 15,273 × 6,480.21
  4. Step 4: Simplify right side
    10,178.94x = 98,972,247.33
  5. Step 5: Solve for x
    x = 98,972,247.33/10,178.94
  6. Step 6: Final answer
    x = 9,723.24

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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.