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Finding the Fourth Proportional to 7,940.70, 11,916.53 and 3,563.06

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Solution

The fourth proportional to 7,940.70, 11,916.53 and 3,563.06 is: 5,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.70 : 11,916.53 = 3,563.06 : x
  2. Step 2: Convert to fraction form
    7,940.70/11,916.53 = 3,563.06/x
  3. Step 3: Cross multiply
    7,940.70x = 11,916.53 × 3,563.06
  4. Step 4: Simplify right side
    7,940.70x = 42,459,233.98
  5. Step 5: Solve for x
    x = 42,459,233.98/7,940.70
  6. Step 6: Final answer
    x = 5,347.04

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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.