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Finding the Fourth Proportional to 10,140.80, 13,994.69 and 5,891.81

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Solution

The fourth proportional to 10,140.80, 13,994.69 and 5,891.81 is: 8,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.80 : 13,994.69 = 5,891.81 : x
  2. Step 2: Convert to fraction form
    10,140.80/13,994.69 = 5,891.81/x
  3. Step 3: Cross multiply
    10,140.80x = 13,994.69 × 5,891.81
  4. Step 4: Simplify right side
    10,140.80x = 82,453,955.06
  5. Step 5: Solve for x
    x = 82,453,955.06/10,140.80
  6. Step 6: Final answer
    x = 8,130.92

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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.