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Finding the Fourth Proportional to 7,726.74, 10,662.80 and 4,189.93

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Solution

The fourth proportional to 7,726.74, 10,662.80 and 4,189.93 is: 5,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.74 : 10,662.80 = 4,189.93 : x
  2. Step 2: Convert to fraction form
    7,726.74/10,662.80 = 4,189.93/x
  3. Step 3: Cross multiply
    7,726.74x = 10,662.80 × 4,189.93
  4. Step 4: Simplify right side
    7,726.74x = 44,676,365.85
  5. Step 5: Solve for x
    x = 44,676,365.85/7,726.74
  6. Step 6: Final answer
    x = 5,782.05

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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.