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Finding the Fourth Proportional to 10,464.50, 14,443.65 and 5,989.65

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Solution

The fourth proportional to 10,464.50, 14,443.65 and 5,989.65 is: 8,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.50 : 14,443.65 = 5,989.65 : x
  2. Step 2: Convert to fraction form
    10,464.50/14,443.65 = 5,989.65/x
  3. Step 3: Cross multiply
    10,464.50x = 14,443.65 × 5,989.65
  4. Step 4: Simplify right side
    10,464.50x = 86,512,408.22
  5. Step 5: Solve for x
    x = 86,512,408.22/10,464.50
  6. Step 6: Final answer
    x = 8,267.23

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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.