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Finding the Fourth Proportional to 7,613.78, 10,506.24 and 4,256.30

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Solution

The fourth proportional to 7,613.78, 10,506.24 and 4,256.30 is: 5,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.78 : 10,506.24 = 4,256.30 : x
  2. Step 2: Convert to fraction form
    7,613.78/10,506.24 = 4,256.30/x
  3. Step 3: Cross multiply
    7,613.78x = 10,506.24 × 4,256.30
  4. Step 4: Simplify right side
    7,613.78x = 44,717,709.31
  5. Step 5: Solve for x
    x = 44,717,709.31/7,613.78
  6. Step 6: Final answer
    x = 5,873.26

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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.