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Finding the Fourth Proportional to 10,359.75, 14,297.82 and 6,168

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Solution

The fourth proportional to 10,359.75, 14,297.82 and 6,168 is: 8,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.75 : 14,297.82 = 6,168 : x
  2. Step 2: Convert to fraction form
    10,359.75/14,297.82 = 6,168/x
  3. Step 3: Cross multiply
    10,359.75x = 14,297.82 × 6,168
  4. Step 4: Simplify right side
    10,359.75x = 88,188,953.76
  5. Step 5: Solve for x
    x = 88,188,953.76/10,359.75
  6. Step 6: Final answer
    x = 8,512.65

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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.