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Finding the Fourth Proportional to 10,269.51, 14,172.14 and 5,792.41

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Solution

The fourth proportional to 10,269.51, 14,172.14 and 5,792.41 is: 7,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.51 : 14,172.14 = 5,792.41 : x
  2. Step 2: Convert to fraction form
    10,269.51/14,172.14 = 5,792.41/x
  3. Step 3: Cross multiply
    10,269.51x = 14,172.14 × 5,792.41
  4. Step 4: Simplify right side
    10,269.51x = 82,090,745.63
  5. Step 5: Solve for x
    x = 82,090,745.63/10,269.51
  6. Step 6: Final answer
    x = 7,993.64

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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.