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Finding the Fourth Proportional to 8,424.65, 12,641.53 and 4,269.35

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Solution

The fourth proportional to 8,424.65, 12,641.53 and 4,269.35 is: 6,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.65 : 12,641.53 = 4,269.35 : x
  2. Step 2: Convert to fraction form
    8,424.65/12,641.53 = 4,269.35/x
  3. Step 3: Cross multiply
    8,424.65x = 12,641.53 × 4,269.35
  4. Step 4: Simplify right side
    8,424.65x = 53,971,116.11
  5. Step 5: Solve for x
    x = 53,971,116.11/8,424.65
  6. Step 6: Final answer
    x = 6,406.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.