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Finding the Fourth Proportional to 10,292.52, 14,203.20 and 6,517.68

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Solution

The fourth proportional to 10,292.52, 14,203.20 and 6,517.68 is: 8,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.52 : 14,203.20 = 6,517.68 : x
  2. Step 2: Convert to fraction form
    10,292.52/14,203.20 = 6,517.68/x
  3. Step 3: Cross multiply
    10,292.52x = 14,203.20 × 6,517.68
  4. Step 4: Simplify right side
    10,292.52x = 92,571,912.58
  5. Step 5: Solve for x
    x = 92,571,912.58/10,292.52
  6. Step 6: Final answer
    x = 8,994.10

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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.