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Finding the Fourth Proportional to 7,726.55, 10,662.71 and 4,189.82

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Solution

The fourth proportional to 7,726.55, 10,662.71 and 4,189.82 is: 5,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.55 : 10,662.71 = 4,189.82 : x
  2. Step 2: Convert to fraction form
    7,726.55/10,662.71 = 4,189.82/x
  3. Step 3: Cross multiply
    7,726.55x = 10,662.71 × 4,189.82
  4. Step 4: Simplify right side
    7,726.55x = 44,674,761.35
  5. Step 5: Solve for x
    x = 44,674,761.35/7,726.55
  6. Step 6: Final answer
    x = 5,781.98

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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.