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Finding the Fourth Proportional to 10,757.19, 14,844.71 and 5,977.14

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Solution

The fourth proportional to 10,757.19, 14,844.71 and 5,977.14 is: 8,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.19 : 14,844.71 = 5,977.14 : x
  2. Step 2: Convert to fraction form
    10,757.19/14,844.71 = 5,977.14/x
  3. Step 3: Cross multiply
    10,757.19x = 14,844.71 × 5,977.14
  4. Step 4: Simplify right side
    10,757.19x = 88,728,880.04
  5. Step 5: Solve for x
    x = 88,728,880.04/10,757.19
  6. Step 6: Final answer
    x = 8,248.33

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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.