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Finding the Fourth Proportional to 8,354.34, 12,532.32 and 3,090.75

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Solution

The fourth proportional to 8,354.34, 12,532.32 and 3,090.75 is: 4,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.34 : 12,532.32 = 3,090.75 : x
  2. Step 2: Convert to fraction form
    8,354.34/12,532.32 = 3,090.75/x
  3. Step 3: Cross multiply
    8,354.34x = 12,532.32 × 3,090.75
  4. Step 4: Simplify right side
    8,354.34x = 38,734,268.04
  5. Step 5: Solve for x
    x = 38,734,268.04/8,354.34
  6. Step 6: Final answer
    x = 4,636.42

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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.