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Finding the Fourth Proportional to 8,410.50, 11,606.49 and 4,684.50

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Solution

The fourth proportional to 8,410.50, 11,606.49 and 4,684.50 is: 6,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.50 : 11,606.49 = 4,684.50 : x
  2. Step 2: Convert to fraction form
    8,410.50/11,606.49 = 4,684.50/x
  3. Step 3: Cross multiply
    8,410.50x = 11,606.49 × 4,684.50
  4. Step 4: Simplify right side
    8,410.50x = 54,370,602.41
  5. Step 5: Solve for x
    x = 54,370,602.41/8,410.50
  6. Step 6: Final answer
    x = 6,464.61

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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.