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Finding the Fourth Proportional to 8,436.10, 11,641.52 and 4,659.20

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Solution

The fourth proportional to 8,436.10, 11,641.52 and 4,659.20 is: 6,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.10 : 11,641.52 = 4,659.20 : x
  2. Step 2: Convert to fraction form
    8,436.10/11,641.52 = 4,659.20/x
  3. Step 3: Cross multiply
    8,436.10x = 11,641.52 × 4,659.20
  4. Step 4: Simplify right side
    8,436.10x = 54,240,169.98
  5. Step 5: Solve for x
    x = 54,240,169.98/8,436.10
  6. Step 6: Final answer
    x = 6,429.53

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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.