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Finding the Fourth Proportional to 10,411.60, 14,367.83 and 6,377.80

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Solution

The fourth proportional to 10,411.60, 14,367.83 and 6,377.80 is: 8,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.60 : 14,367.83 = 6,377.80 : x
  2. Step 2: Convert to fraction form
    10,411.60/14,367.83 = 6,377.80/x
  3. Step 3: Cross multiply
    10,411.60x = 14,367.83 × 6,377.80
  4. Step 4: Simplify right side
    10,411.60x = 91,635,146.17
  5. Step 5: Solve for x
    x = 91,635,146.17/10,411.60
  6. Step 6: Final answer
    x = 8,801.25

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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.