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Finding the Fourth Proportional to 10,207.54, 14,085.39 and 6,229.63

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Solution

The fourth proportional to 10,207.54, 14,085.39 and 6,229.63 is: 8,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.54 : 14,085.39 = 6,229.63 : x
  2. Step 2: Convert to fraction form
    10,207.54/14,085.39 = 6,229.63/x
  3. Step 3: Cross multiply
    10,207.54x = 14,085.39 × 6,229.63
  4. Step 4: Simplify right side
    10,207.54x = 87,746,768.11
  5. Step 5: Solve for x
    x = 87,746,768.11/10,207.54
  6. Step 6: Final answer
    x = 8,596.27

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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.