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Finding the Fourth Proportional to 7,726.37, 10,662.46 and 4,189.64

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Solution

The fourth proportional to 7,726.37, 10,662.46 and 4,189.64 is: 5,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.37 : 10,662.46 = 4,189.64 : x
  2. Step 2: Convert to fraction form
    7,726.37/10,662.46 = 4,189.64/x
  3. Step 3: Cross multiply
    7,726.37x = 10,662.46 × 4,189.64
  4. Step 4: Simplify right side
    7,726.37x = 44,671,805.13
  5. Step 5: Solve for x
    x = 44,671,805.13/7,726.37
  6. Step 6: Final answer
    x = 5,781.74

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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.