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Finding the Fourth Proportional to 8,285.65, 12,429.16 and 3,605.81

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Solution

The fourth proportional to 8,285.65, 12,429.16 and 3,605.81 is: 5,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.65 : 12,429.16 = 3,605.81 : x
  2. Step 2: Convert to fraction form
    8,285.65/12,429.16 = 3,605.81/x
  3. Step 3: Cross multiply
    8,285.65x = 12,429.16 × 3,605.81
  4. Step 4: Simplify right side
    8,285.65x = 44,817,211.48
  5. Step 5: Solve for x
    x = 44,817,211.48/8,285.65
  6. Step 6: Final answer
    x = 5,409.02

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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.