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Finding the Fourth Proportional to 10,139.94, 13,993.74 and 5,891.13

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Solution

The fourth proportional to 10,139.94, 13,993.74 and 5,891.13 is: 8,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.94 : 13,993.74 = 5,891.13 : x
  2. Step 2: Convert to fraction form
    10,139.94/13,993.74 = 5,891.13/x
  3. Step 3: Cross multiply
    10,139.94x = 13,993.74 × 5,891.13
  4. Step 4: Simplify right side
    10,139.94x = 82,438,941.53
  5. Step 5: Solve for x
    x = 82,438,941.53/10,139.94
  6. Step 6: Final answer
    x = 8,130.12

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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.