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Finding the Fourth Proportional to 8,420.35, 11,620.14 and 4,643.65

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Solution

The fourth proportional to 8,420.35, 11,620.14 and 4,643.65 is: 6,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.35 : 11,620.14 = 4,643.65 : x
  2. Step 2: Convert to fraction form
    8,420.35/11,620.14 = 4,643.65/x
  3. Step 3: Cross multiply
    8,420.35x = 11,620.14 × 4,643.65
  4. Step 4: Simplify right side
    8,420.35x = 53,959,863.11
  5. Step 5: Solve for x
    x = 53,959,863.11/8,420.35
  6. Step 6: Final answer
    x = 6,408.27

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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.