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Finding the Fourth Proportional to 7,567.38, 11,353.86 and 3,184.38

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Solution

The fourth proportional to 7,567.38, 11,353.86 and 3,184.38 is: 4,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.38 : 11,353.86 = 3,184.38 : x
  2. Step 2: Convert to fraction form
    7,567.38/11,353.86 = 3,184.38/x
  3. Step 3: Cross multiply
    7,567.38x = 11,353.86 × 3,184.38
  4. Step 4: Simplify right side
    7,567.38x = 36,155,004.71
  5. Step 5: Solve for x
    x = 36,155,004.71/7,567.38
  6. Step 6: Final answer
    x = 4,777.74

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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.