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Finding the Fourth Proportional to 11,567.12, 17,350.74 and 4,640

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Solution

The fourth proportional to 11,567.12, 17,350.74 and 4,640 is: 6,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.12 : 17,350.74 = 4,640 : x
  2. Step 2: Convert to fraction form
    11,567.12/17,350.74 = 4,640/x
  3. Step 3: Cross multiply
    11,567.12x = 17,350.74 × 4,640
  4. Step 4: Simplify right side
    11,567.12x = 80,507,433.60
  5. Step 5: Solve for x
    x = 80,507,433.60/11,567.12
  6. Step 6: Final answer
    x = 6,960.02

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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.