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Finding the Fourth Proportional to 7,076.64, 10,615.19 and 3,181.05

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Solution

The fourth proportional to 7,076.64, 10,615.19 and 3,181.05 is: 4,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.64 : 10,615.19 = 3,181.05 : x
  2. Step 2: Convert to fraction form
    7,076.64/10,615.19 = 3,181.05/x
  3. Step 3: Cross multiply
    7,076.64x = 10,615.19 × 3,181.05
  4. Step 4: Simplify right side
    7,076.64x = 33,767,476.69
  5. Step 5: Solve for x
    x = 33,767,476.69/7,076.64
  6. Step 6: Final answer
    x = 4,771.69

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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.