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Finding the Fourth Proportional to 10,696.79, 14,765.29 and 7,350.68

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Solution

The fourth proportional to 10,696.79, 14,765.29 and 7,350.68 is: 10,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.79 : 14,765.29 = 7,350.68 : x
  2. Step 2: Convert to fraction form
    10,696.79/14,765.29 = 7,350.68/x
  3. Step 3: Cross multiply
    10,696.79x = 14,765.29 × 7,350.68
  4. Step 4: Simplify right side
    10,696.79x = 108,534,940.43
  5. Step 5: Solve for x
    x = 108,534,940.43/10,696.79
  6. Step 6: Final answer
    x = 10,146.49

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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.