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Finding the Fourth Proportional to 10,604.25, 14,635.49 and 6,414.93

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Solution

The fourth proportional to 10,604.25, 14,635.49 and 6,414.93 is: 8,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.25 : 14,635.49 = 6,414.93 : x
  2. Step 2: Convert to fraction form
    10,604.25/14,635.49 = 6,414.93/x
  3. Step 3: Cross multiply
    10,604.25x = 14,635.49 × 6,414.93
  4. Step 4: Simplify right side
    10,604.25x = 93,885,611.79
  5. Step 5: Solve for x
    x = 93,885,611.79/10,604.25
  6. Step 6: Final answer
    x = 8,853.58

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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.