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Finding the Fourth Proportional to 10,006.40, 13,806.08 and 5,757.28

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Solution

The fourth proportional to 10,006.40, 13,806.08 and 5,757.28 is: 7,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.40 : 13,806.08 = 5,757.28 : x
  2. Step 2: Convert to fraction form
    10,006.40/13,806.08 = 5,757.28/x
  3. Step 3: Cross multiply
    10,006.40x = 13,806.08 × 5,757.28
  4. Step 4: Simplify right side
    10,006.40x = 79,485,468.26
  5. Step 5: Solve for x
    x = 79,485,468.26/10,006.40
  6. Step 6: Final answer
    x = 7,943.46

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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.