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Finding the Fourth Proportional to 11,895.52, 17,820.24 and 6,412

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Solution

The fourth proportional to 11,895.52, 17,820.24 and 6,412 is: 9,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.52 : 17,820.24 = 6,412 : x
  2. Step 2: Convert to fraction form
    11,895.52/17,820.24 = 6,412/x
  3. Step 3: Cross multiply
    11,895.52x = 17,820.24 × 6,412
  4. Step 4: Simplify right side
    11,895.52x = 114,263,378.88
  5. Step 5: Solve for x
    x = 114,263,378.88/11,895.52
  6. Step 6: Final answer
    x = 9,605.58

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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.