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Finding the Fourth Proportional to 8,410.12, 11,606.18 and 4,684.20

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Solution

The fourth proportional to 8,410.12, 11,606.18 and 4,684.20 is: 6,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.12 : 11,606.18 = 4,684.20 : x
  2. Step 2: Convert to fraction form
    8,410.12/11,606.18 = 4,684.20/x
  3. Step 3: Cross multiply
    8,410.12x = 11,606.18 × 4,684.20
  4. Step 4: Simplify right side
    8,410.12x = 54,365,668.36
  5. Step 5: Solve for x
    x = 54,365,668.36/8,410.12
  6. Step 6: Final answer
    x = 6,464.32

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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.