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Finding the Fourth Proportional to 10,774.36, 16,055.87 and 10,683.64

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Solution

The fourth proportional to 10,774.36, 16,055.87 and 10,683.64 is: 15,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.36 : 16,055.87 = 10,683.64 : x
  2. Step 2: Convert to fraction form
    10,774.36/16,055.87 = 10,683.64/x
  3. Step 3: Cross multiply
    10,774.36x = 16,055.87 × 10,683.64
  4. Step 4: Simplify right side
    10,774.36x = 171,535,134.97
  5. Step 5: Solve for x
    x = 171,535,134.97/10,774.36
  6. Step 6: Final answer
    x = 15,920.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.