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Finding the Fourth Proportional to 10,367.94, 14,307.80 and 5,893.18

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Solution

The fourth proportional to 10,367.94, 14,307.80 and 5,893.18 is: 8,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.94 : 14,307.80 = 5,893.18 : x
  2. Step 2: Convert to fraction form
    10,367.94/14,307.80 = 5,893.18/x
  3. Step 3: Cross multiply
    10,367.94x = 14,307.80 × 5,893.18
  4. Step 4: Simplify right side
    10,367.94x = 84,318,440.80
  5. Step 5: Solve for x
    x = 84,318,440.80/10,367.94
  6. Step 6: Final answer
    x = 8,132.61

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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.