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Finding the Fourth Proportional to 10,122.49, 13,969.11 and 5,646.53

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Solution

The fourth proportional to 10,122.49, 13,969.11 and 5,646.53 is: 7,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.49 : 13,969.11 = 5,646.53 : x
  2. Step 2: Convert to fraction form
    10,122.49/13,969.11 = 5,646.53/x
  3. Step 3: Cross multiply
    10,122.49x = 13,969.11 × 5,646.53
  4. Step 4: Simplify right side
    10,122.49x = 78,876,998.69
  5. Step 5: Solve for x
    x = 78,876,998.69/10,122.49
  6. Step 6: Final answer
    x = 7,792.25

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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.