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Finding the Fourth Proportional to 7,531.78, 10,369.59 and 6,467.44

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Solution

The fourth proportional to 7,531.78, 10,369.59 and 6,467.44 is: 8,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.78 : 10,369.59 = 6,467.44 : x
  2. Step 2: Convert to fraction form
    7,531.78/10,369.59 = 6,467.44/x
  3. Step 3: Cross multiply
    7,531.78x = 10,369.59 × 6,467.44
  4. Step 4: Simplify right side
    7,531.78x = 67,064,701.15
  5. Step 5: Solve for x
    x = 67,064,701.15/7,531.78
  6. Step 6: Final answer
    x = 8,904.23

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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.