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Finding the Fourth Proportional to 6,916.17, 10,384.62 and 3,957.95

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Solution

The fourth proportional to 6,916.17, 10,384.62 and 3,957.95 is: 5,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.17 : 10,384.62 = 3,957.95 : x
  2. Step 2: Convert to fraction form
    6,916.17/10,384.62 = 3,957.95/x
  3. Step 3: Cross multiply
    6,916.17x = 10,384.62 × 3,957.95
  4. Step 4: Simplify right side
    6,916.17x = 41,101,754.81
  5. Step 5: Solve for x
    x = 41,101,754.81/6,916.17
  6. Step 6: Final answer
    x = 5,942.85

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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.