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Finding the Fourth Proportional to 6,986.96, 10,484.04 and 3,094.10

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Solution

The fourth proportional to 6,986.96, 10,484.04 and 3,094.10 is: 4,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.96 : 10,484.04 = 3,094.10 : x
  2. Step 2: Convert to fraction form
    6,986.96/10,484.04 = 3,094.10/x
  3. Step 3: Cross multiply
    6,986.96x = 10,484.04 × 3,094.10
  4. Step 4: Simplify right side
    6,986.96x = 32,438,668.16
  5. Step 5: Solve for x
    x = 32,438,668.16/6,986.96
  6. Step 6: Final answer
    x = 4,642.74

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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.