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Finding the Fourth Proportional to 10,481.94, 14,465.05 and 5,766.19

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Solution

The fourth proportional to 10,481.94, 14,465.05 and 5,766.19 is: 7,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.94 : 14,465.05 = 5,766.19 : x
  2. Step 2: Convert to fraction form
    10,481.94/14,465.05 = 5,766.19/x
  3. Step 3: Cross multiply
    10,481.94x = 14,465.05 × 5,766.19
  4. Step 4: Simplify right side
    10,481.94x = 83,408,176.08
  5. Step 5: Solve for x
    x = 83,408,176.08/10,481.94
  6. Step 6: Final answer
    x = 7,957.32

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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.