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Finding the Fourth Proportional to 8,410.59, 11,606.99 and 4,684.59

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Solution

The fourth proportional to 8,410.59, 11,606.99 and 4,684.59 is: 6,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.59 : 11,606.99 = 4,684.59 : x
  2. Step 2: Convert to fraction form
    8,410.59/11,606.99 = 4,684.59/x
  3. Step 3: Cross multiply
    8,410.59x = 11,606.99 × 4,684.59
  4. Step 4: Simplify right side
    8,410.59x = 54,373,965.86
  5. Step 5: Solve for x
    x = 54,373,965.86/8,410.59
  6. Step 6: Final answer
    x = 6,464.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.