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Finding the Fourth Proportional to 10,377.61, 14,317.02 and 6,391.80

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Solution

The fourth proportional to 10,377.61, 14,317.02 and 6,391.80 is: 8,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.61 : 14,317.02 = 6,391.80 : x
  2. Step 2: Convert to fraction form
    10,377.61/14,317.02 = 6,391.80/x
  3. Step 3: Cross multiply
    10,377.61x = 14,317.02 × 6,391.80
  4. Step 4: Simplify right side
    10,377.61x = 91,511,528.44
  5. Step 5: Solve for x
    x = 91,511,528.44/10,377.61
  6. Step 6: Final answer
    x = 8,818.17

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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.