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Finding the Fourth Proportional to 7,467.78, 10,305.78 and 4,110.72

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Solution

The fourth proportional to 7,467.78, 10,305.78 and 4,110.72 is: 5,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.78 : 10,305.78 = 4,110.72 : x
  2. Step 2: Convert to fraction form
    7,467.78/10,305.78 = 4,110.72/x
  3. Step 3: Cross multiply
    7,467.78x = 10,305.78 × 4,110.72
  4. Step 4: Simplify right side
    7,467.78x = 42,364,175.96
  5. Step 5: Solve for x
    x = 42,364,175.96/7,467.78
  6. Step 6: Final answer
    x = 5,672.93

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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.