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Finding the Fourth Proportional to 7,726.34, 10,662.41 and 4,538.78

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Solution

The fourth proportional to 7,726.34, 10,662.41 and 4,538.78 is: 6,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.34 : 10,662.41 = 4,538.78 : x
  2. Step 2: Convert to fraction form
    7,726.34/10,662.41 = 4,538.78/x
  3. Step 3: Cross multiply
    7,726.34x = 10,662.41 × 4,538.78
  4. Step 4: Simplify right side
    7,726.34x = 48,394,257.25
  5. Step 5: Solve for x
    x = 48,394,257.25/7,726.34
  6. Step 6: Final answer
    x = 6,263.55

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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.