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Finding the Fourth Proportional to 8,416.44, 11,614.64 and 4,881.72

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Solution

The fourth proportional to 8,416.44, 11,614.64 and 4,881.72 is: 6,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.44 : 11,614.64 = 4,881.72 : x
  2. Step 2: Convert to fraction form
    8,416.44/11,614.64 = 4,881.72/x
  3. Step 3: Cross multiply
    8,416.44x = 11,614.64 × 4,881.72
  4. Step 4: Simplify right side
    8,416.44x = 56,699,420.38
  5. Step 5: Solve for x
    x = 56,699,420.38/8,416.44
  6. Step 6: Final answer
    x = 6,736.75

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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.