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Finding the Fourth Proportional to 8,302.71, 12,446.58 and 3,033.98

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Solution

The fourth proportional to 8,302.71, 12,446.58 and 3,033.98 is: 4,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.71 : 12,446.58 = 3,033.98 : x
  2. Step 2: Convert to fraction form
    8,302.71/12,446.58 = 3,033.98/x
  3. Step 3: Cross multiply
    8,302.71x = 12,446.58 × 3,033.98
  4. Step 4: Simplify right side
    8,302.71x = 37,762,740.62
  5. Step 5: Solve for x
    x = 37,762,740.62/8,302.71
  6. Step 6: Final answer
    x = 4,548.24

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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.