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Finding the Fourth Proportional to 8,461.36, 12,685.12 and 3,534.68

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Solution

The fourth proportional to 8,461.36, 12,685.12 and 3,534.68 is: 5,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.36 : 12,685.12 = 3,534.68 : x
  2. Step 2: Convert to fraction form
    8,461.36/12,685.12 = 3,534.68/x
  3. Step 3: Cross multiply
    8,461.36x = 12,685.12 × 3,534.68
  4. Step 4: Simplify right side
    8,461.36x = 44,837,839.96
  5. Step 5: Solve for x
    x = 44,837,839.96/8,461.36
  6. Step 6: Final answer
    x = 5,299.13

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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.