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Finding the Fourth Proportional to 7,367.64, 11,041.61 and 3,613.68

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Solution

The fourth proportional to 7,367.64, 11,041.61 and 3,613.68 is: 5,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.64 : 11,041.61 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    7,367.64/11,041.61 = 3,613.68/x
  3. Step 3: Cross multiply
    7,367.64x = 11,041.61 × 3,613.68
  4. Step 4: Simplify right side
    7,367.64x = 39,900,827.16
  5. Step 5: Solve for x
    x = 39,900,827.16/7,367.64
  6. Step 6: Final answer
    x = 5,415.69

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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.