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Finding the Fourth Proportional to 7,216.50, 10,829.10 and 3,112.50

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Solution

The fourth proportional to 7,216.50, 10,829.10 and 3,112.50 is: 4,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.50 : 10,829.10 = 3,112.50 : x
  2. Step 2: Convert to fraction form
    7,216.50/10,829.10 = 3,112.50/x
  3. Step 3: Cross multiply
    7,216.50x = 10,829.10 × 3,112.50
  4. Step 4: Simplify right side
    7,216.50x = 33,705,573.75
  5. Step 5: Solve for x
    x = 33,705,573.75/7,216.50
  6. Step 6: Final answer
    x = 4,670.63

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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.