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Finding the Fourth Proportional to 10,166.88, 14,035.39 and 6,392.13

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Solution

The fourth proportional to 10,166.88, 14,035.39 and 6,392.13 is: 8,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.88 : 14,035.39 = 6,392.13 : x
  2. Step 2: Convert to fraction form
    10,166.88/14,035.39 = 6,392.13/x
  3. Step 3: Cross multiply
    10,166.88x = 14,035.39 × 6,392.13
  4. Step 4: Simplify right side
    10,166.88x = 89,716,037.48
  5. Step 5: Solve for x
    x = 89,716,037.48/10,166.88
  6. Step 6: Final answer
    x = 8,824.34

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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.