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Finding the Fourth Proportional to 10,625.44, 14,662.16 and 5,909.84

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Solution

The fourth proportional to 10,625.44, 14,662.16 and 5,909.84 is: 8,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.44 : 14,662.16 = 5,909.84 : x
  2. Step 2: Convert to fraction form
    10,625.44/14,662.16 = 5,909.84/x
  3. Step 3: Cross multiply
    10,625.44x = 14,662.16 × 5,909.84
  4. Step 4: Simplify right side
    10,625.44x = 86,651,019.65
  5. Step 5: Solve for x
    x = 86,651,019.65/10,625.44
  6. Step 6: Final answer
    x = 8,155.05

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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.