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Finding the Fourth Proportional to 8,422.40, 12,635.68 and 3,804.16

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Solution

The fourth proportional to 8,422.40, 12,635.68 and 3,804.16 is: 5,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.40 : 12,635.68 = 3,804.16 : x
  2. Step 2: Convert to fraction form
    8,422.40/12,635.68 = 3,804.16/x
  3. Step 3: Cross multiply
    8,422.40x = 12,635.68 × 3,804.16
  4. Step 4: Simplify right side
    8,422.40x = 48,068,148.43
  5. Step 5: Solve for x
    x = 48,068,148.43/8,422.40
  6. Step 6: Final answer
    x = 5,707.18

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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.