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Finding the Fourth Proportional to 8,369.16, 11,548.80 and 4,830

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Solution

The fourth proportional to 8,369.16, 11,548.80 and 4,830 is: 6,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.16 : 11,548.80 = 4,830 : x
  2. Step 2: Convert to fraction form
    8,369.16/11,548.80 = 4,830/x
  3. Step 3: Cross multiply
    8,369.16x = 11,548.80 × 4,830
  4. Step 4: Simplify right side
    8,369.16x = 55,780,704
  5. Step 5: Solve for x
    x = 55,780,704/8,369.16
  6. Step 6: Final answer
    x = 6,665.03

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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.