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Finding the Fourth Proportional to 8,416.36, 11,611.08 and 5,431.84

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Solution

The fourth proportional to 8,416.36, 11,611.08 and 5,431.84 is: 7,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.36 : 11,611.08 = 5,431.84 : x
  2. Step 2: Convert to fraction form
    8,416.36/11,611.08 = 5,431.84/x
  3. Step 3: Cross multiply
    8,416.36x = 11,611.08 × 5,431.84
  4. Step 4: Simplify right side
    8,416.36x = 63,069,528.79
  5. Step 5: Solve for x
    x = 63,069,528.79/8,416.36
  6. Step 6: Final answer
    x = 7,493.68

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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.