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Finding the Fourth Proportional to 7,481.77, 11,208.29 and 4,184.87

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Solution

The fourth proportional to 7,481.77, 11,208.29 and 4,184.87 is: 6,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.77 : 11,208.29 = 4,184.87 : x
  2. Step 2: Convert to fraction form
    7,481.77/11,208.29 = 4,184.87/x
  3. Step 3: Cross multiply
    7,481.77x = 11,208.29 × 4,184.87
  4. Step 4: Simplify right side
    7,481.77x = 46,905,159.61
  5. Step 5: Solve for x
    x = 46,905,159.61/7,481.77
  6. Step 6: Final answer
    x = 6,269.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.