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Finding the Fourth Proportional to 11,652.16, 17,464.36 and 6,711.57

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Solution

The fourth proportional to 11,652.16, 17,464.36 and 6,711.57 is: 10,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.16 : 17,464.36 = 6,711.57 : x
  2. Step 2: Convert to fraction form
    11,652.16/17,464.36 = 6,711.57/x
  3. Step 3: Cross multiply
    11,652.16x = 17,464.36 × 6,711.57
  4. Step 4: Simplify right side
    11,652.16x = 117,213,274.65
  5. Step 5: Solve for x
    x = 117,213,274.65/11,652.16
  6. Step 6: Final answer
    x = 10,059.36

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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.