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Finding the Fourth Proportional to 7,726.34, 10,662.36 and 4,189.55

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Solution

The fourth proportional to 7,726.34, 10,662.36 and 4,189.55 is: 5,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.34 : 10,662.36 = 4,189.55 : x
  2. Step 2: Convert to fraction form
    7,726.34/10,662.36 = 4,189.55/x
  3. Step 3: Cross multiply
    7,726.34x = 10,662.36 × 4,189.55
  4. Step 4: Simplify right side
    7,726.34x = 44,670,490.34
  5. Step 5: Solve for x
    x = 44,670,490.34/7,726.34
  6. Step 6: Final answer
    x = 5,781.58

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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.