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Finding the Fourth Proportional to 7,083.78, 10,613.52 and 6,466.56

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Solution

The fourth proportional to 7,083.78, 10,613.52 and 6,466.56 is: 9,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.78 : 10,613.52 = 6,466.56 : x
  2. Step 2: Convert to fraction form
    7,083.78/10,613.52 = 6,466.56/x
  3. Step 3: Cross multiply
    7,083.78x = 10,613.52 × 6,466.56
  4. Step 4: Simplify right side
    7,083.78x = 68,632,963.89
  5. Step 5: Solve for x
    x = 68,632,963.89/7,083.78
  6. Step 6: Final answer
    x = 9,688.75

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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.