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Finding the Fourth Proportional to 8,419.79, 11,619.38 and 4,643.09

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Solution

The fourth proportional to 8,419.79, 11,619.38 and 4,643.09 is: 6,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.79 : 11,619.38 = 4,643.09 : x
  2. Step 2: Convert to fraction form
    8,419.79/11,619.38 = 4,643.09/x
  3. Step 3: Cross multiply
    8,419.79x = 11,619.38 × 4,643.09
  4. Step 4: Simplify right side
    8,419.79x = 53,949,745.77
  5. Step 5: Solve for x
    x = 53,949,745.77/8,419.79
  6. Step 6: Final answer
    x = 6,407.50

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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.