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Finding the Fourth Proportional to 6,133.72, 8,465.64 and 3,615.68

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Solution

The fourth proportional to 6,133.72, 8,465.64 and 3,615.68 is: 4,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.72 : 8,465.64 = 3,615.68 : x
  2. Step 2: Convert to fraction form
    6,133.72/8,465.64 = 3,615.68/x
  3. Step 3: Cross multiply
    6,133.72x = 8,465.64 × 3,615.68
  4. Step 4: Simplify right side
    6,133.72x = 30,609,027.16
  5. Step 5: Solve for x
    x = 30,609,027.16/6,133.72
  6. Step 6: Final answer
    x = 4,990.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.