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Finding the Fourth Proportional to 8,415.22, 11,609.70 and 4,877.76

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Solution

The fourth proportional to 8,415.22, 11,609.70 and 4,877.76 is: 6,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.22 : 11,609.70 = 4,877.76 : x
  2. Step 2: Convert to fraction form
    8,415.22/11,609.70 = 4,877.76/x
  3. Step 3: Cross multiply
    8,415.22x = 11,609.70 × 4,877.76
  4. Step 4: Simplify right side
    8,415.22x = 56,629,330.27
  5. Step 5: Solve for x
    x = 56,629,330.27/8,415.22
  6. Step 6: Final answer
    x = 6,729.39

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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.