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Finding the Fourth Proportional to 8,436.23, 11,641.89 and 4,659.54

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Solution

The fourth proportional to 8,436.23, 11,641.89 and 4,659.54 is: 6,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.23 : 11,641.89 = 4,659.54 : x
  2. Step 2: Convert to fraction form
    8,436.23/11,641.89 = 4,659.54/x
  3. Step 3: Cross multiply
    8,436.23x = 11,641.89 × 4,659.54
  4. Step 4: Simplify right side
    8,436.23x = 54,245,828.83
  5. Step 5: Solve for x
    x = 54,245,828.83/8,436.23
  6. Step 6: Final answer
    x = 6,430.11

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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.