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Finding the Fourth Proportional to 6,916.31, 10,374.42 and 3,216.50

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Solution

The fourth proportional to 6,916.31, 10,374.42 and 3,216.50 is: 4,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.31 : 10,374.42 = 3,216.50 : x
  2. Step 2: Convert to fraction form
    6,916.31/10,374.42 = 3,216.50/x
  3. Step 3: Cross multiply
    6,916.31x = 10,374.42 × 3,216.50
  4. Step 4: Simplify right side
    6,916.31x = 33,369,321.93
  5. Step 5: Solve for x
    x = 33,369,321.93/6,916.31
  6. Step 6: Final answer
    x = 4,824.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.