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Finding the Fourth Proportional to 10,434.12, 15,652.04 and 4,193.31

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Solution

The fourth proportional to 10,434.12, 15,652.04 and 4,193.31 is: 6,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.12 : 15,652.04 = 4,193.31 : x
  2. Step 2: Convert to fraction form
    10,434.12/15,652.04 = 4,193.31/x
  3. Step 3: Cross multiply
    10,434.12x = 15,652.04 × 4,193.31
  4. Step 4: Simplify right side
    10,434.12x = 65,633,893.58
  5. Step 5: Solve for x
    x = 65,633,893.58/10,434.12
  6. Step 6: Final answer
    x = 6,290.32

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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.