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Finding the Fourth Proportional to 8,420.56, 11,620.45 and 4,643.86

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Solution

The fourth proportional to 8,420.56, 11,620.45 and 4,643.86 is: 6,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.56 : 11,620.45 = 4,643.86 : x
  2. Step 2: Convert to fraction form
    8,420.56/11,620.45 = 4,643.86/x
  3. Step 3: Cross multiply
    8,420.56x = 11,620.45 × 4,643.86
  4. Step 4: Simplify right side
    8,420.56x = 53,963,742.94
  5. Step 5: Solve for x
    x = 53,963,742.94/8,420.56
  6. Step 6: Final answer
    x = 6,408.57

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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.