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Finding the Fourth Proportional to 8,418.56, 11,617.70 and 4,641.86

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Solution

The fourth proportional to 8,418.56, 11,617.70 and 4,641.86 is: 6,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.56 : 11,617.70 = 4,641.86 : x
  2. Step 2: Convert to fraction form
    8,418.56/11,617.70 = 4,641.86/x
  3. Step 3: Cross multiply
    8,418.56x = 11,617.70 × 4,641.86
  4. Step 4: Simplify right side
    8,418.56x = 53,927,713.71
  5. Step 5: Solve for x
    x = 53,927,713.71/8,418.56
  6. Step 6: Final answer
    x = 6,405.81

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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.