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Finding the Fourth Proportional to 7,546.74, 10,415.16 and 4,403.94

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Solution

The fourth proportional to 7,546.74, 10,415.16 and 4,403.94 is: 6,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.74 : 10,415.16 = 4,403.94 : x
  2. Step 2: Convert to fraction form
    7,546.74/10,415.16 = 4,403.94/x
  3. Step 3: Cross multiply
    7,546.74x = 10,415.16 × 4,403.94
  4. Step 4: Simplify right side
    7,546.74x = 45,867,739.73
  5. Step 5: Solve for x
    x = 45,867,739.73/7,546.74
  6. Step 6: Final answer
    x = 6,077.82

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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.