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Finding the Fourth Proportional to 10,489.74, 15,729.90 and 3,091.60

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Solution

The fourth proportional to 10,489.74, 15,729.90 and 3,091.60 is: 4,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.74 : 15,729.90 = 3,091.60 : x
  2. Step 2: Convert to fraction form
    10,489.74/15,729.90 = 3,091.60/x
  3. Step 3: Cross multiply
    10,489.74x = 15,729.90 × 3,091.60
  4. Step 4: Simplify right side
    10,489.74x = 48,630,566.91
  5. Step 5: Solve for x
    x = 48,630,566.91/10,489.74
  6. Step 6: Final answer
    x = 4,636.01

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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.