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Finding the Fourth Proportional to 7,196.14, 10,777.48 and 6,946.71

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Solution

The fourth proportional to 7,196.14, 10,777.48 and 6,946.71 is: 10,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.14 : 10,777.48 = 6,946.71 : x
  2. Step 2: Convert to fraction form
    7,196.14/10,777.48 = 6,946.71/x
  3. Step 3: Cross multiply
    7,196.14x = 10,777.48 × 6,946.71
  4. Step 4: Simplify right side
    7,196.14x = 74,868,028.09
  5. Step 5: Solve for x
    x = 74,868,028.09/7,196.14
  6. Step 6: Final answer
    x = 10,403.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.