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Finding the Fourth Proportional to 10,377.35, 14,318.94 and 5,839.40

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Solution

The fourth proportional to 10,377.35, 14,318.94 and 5,839.40 is: 8,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.35 : 14,318.94 = 5,839.40 : x
  2. Step 2: Convert to fraction form
    10,377.35/14,318.94 = 5,839.40/x
  3. Step 3: Cross multiply
    10,377.35x = 14,318.94 × 5,839.40
  4. Step 4: Simplify right side
    10,377.35x = 83,614,075.93
  5. Step 5: Solve for x
    x = 83,614,075.93/10,377.35
  6. Step 6: Final answer
    x = 8,057.36

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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.