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Finding the Fourth Proportional to 8,415.38, 11,613.09 and 4,830.26

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Solution

The fourth proportional to 8,415.38, 11,613.09 and 4,830.26 is: 6,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.38 : 11,613.09 = 4,830.26 : x
  2. Step 2: Convert to fraction form
    8,415.38/11,613.09 = 4,830.26/x
  3. Step 3: Cross multiply
    8,415.38x = 11,613.09 × 4,830.26
  4. Step 4: Simplify right side
    8,415.38x = 56,094,244.10
  5. Step 5: Solve for x
    x = 56,094,244.10/8,415.38
  6. Step 6: Final answer
    x = 6,665.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.