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Finding the Fourth Proportional to 7,773, 10,726.34 and 4,236.18

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Solution

The fourth proportional to 7,773, 10,726.34 and 4,236.18 is: 5,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773 : 10,726.34 = 4,236.18 : x
  2. Step 2: Convert to fraction form
    7,773/10,726.34 = 4,236.18/x
  3. Step 3: Cross multiply
    7,773x = 10,726.34 × 4,236.18
  4. Step 4: Simplify right side
    7,773x = 45,438,706.98
  5. Step 5: Solve for x
    x = 45,438,706.98/7,773
  6. Step 6: Final answer
    x = 5,845.71

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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.