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Finding the Fourth Proportional to 10,274.25, 14,180.73 and 6,682.95

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Solution

The fourth proportional to 10,274.25, 14,180.73 and 6,682.95 is: 9,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.25 : 14,180.73 = 6,682.95 : x
  2. Step 2: Convert to fraction form
    10,274.25/14,180.73 = 6,682.95/x
  3. Step 3: Cross multiply
    10,274.25x = 14,180.73 × 6,682.95
  4. Step 4: Simplify right side
    10,274.25x = 94,769,109.55
  5. Step 5: Solve for x
    x = 94,769,109.55/10,274.25
  6. Step 6: Final answer
    x = 9,223.94

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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.