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Finding the Fourth Proportional to 8,312.37, 11,460.87 and 5,163.09

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Solution

The fourth proportional to 8,312.37, 11,460.87 and 5,163.09 is: 7,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.37 : 11,460.87 = 5,163.09 : x
  2. Step 2: Convert to fraction form
    8,312.37/11,460.87 = 5,163.09/x
  3. Step 3: Cross multiply
    8,312.37x = 11,460.87 × 5,163.09
  4. Step 4: Simplify right side
    8,312.37x = 59,173,510.26
  5. Step 5: Solve for x
    x = 59,173,510.26/8,312.37
  6. Step 6: Final answer
    x = 7,118.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.