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Finding the Fourth Proportional to 7,671.44, 11,507.04 and 2,477.72

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Solution

The fourth proportional to 7,671.44, 11,507.04 and 2,477.72 is: 3,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.44 : 11,507.04 = 2,477.72 : x
  2. Step 2: Convert to fraction form
    7,671.44/11,507.04 = 2,477.72/x
  3. Step 3: Cross multiply
    7,671.44x = 11,507.04 × 2,477.72
  4. Step 4: Simplify right side
    7,671.44x = 28,511,223.15
  5. Step 5: Solve for x
    x = 28,511,223.15/7,671.44
  6. Step 6: Final answer
    x = 3,716.54

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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.