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Finding the Fourth Proportional to 7,774.41, 10,728.96 and 4,237.74

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Solution

The fourth proportional to 7,774.41, 10,728.96 and 4,237.74 is: 5,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.41 : 10,728.96 = 4,237.74 : x
  2. Step 2: Convert to fraction form
    7,774.41/10,728.96 = 4,237.74/x
  3. Step 3: Cross multiply
    7,774.41x = 10,728.96 × 4,237.74
  4. Step 4: Simplify right side
    7,774.41x = 45,466,542.95
  5. Step 5: Solve for x
    x = 45,466,542.95/7,774.41
  6. Step 6: Final answer
    x = 5,848.23

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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.