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Finding the Fourth Proportional to 8,389.68, 12,585.68 and 2,546.68

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Solution

The fourth proportional to 8,389.68, 12,585.68 and 2,546.68 is: 3,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.68 : 12,585.68 = 2,546.68 : x
  2. Step 2: Convert to fraction form
    8,389.68/12,585.68 = 2,546.68/x
  3. Step 3: Cross multiply
    8,389.68x = 12,585.68 × 2,546.68
  4. Step 4: Simplify right side
    8,389.68x = 32,051,699.54
  5. Step 5: Solve for x
    x = 32,051,699.54/8,389.68
  6. Step 6: Final answer
    x = 3,820.37

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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.