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Finding the Fourth Proportional to 8,419.77, 11,619.95 and 4,643.28

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Solution

The fourth proportional to 8,419.77, 11,619.95 and 4,643.28 is: 6,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.77 : 11,619.95 = 4,643.28 : x
  2. Step 2: Convert to fraction form
    8,419.77/11,619.95 = 4,643.28/x
  3. Step 3: Cross multiply
    8,419.77x = 11,619.95 × 4,643.28
  4. Step 4: Simplify right side
    8,419.77x = 53,954,658.22
  5. Step 5: Solve for x
    x = 53,954,658.22/8,419.77
  6. Step 6: Final answer
    x = 6,408.09

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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.