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Finding the Fourth Proportional to 7,264.62, 10,916.64 and 6,099.84

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Solution

The fourth proportional to 7,264.62, 10,916.64 and 6,099.84 is: 9,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.62 : 10,916.64 = 6,099.84 : x
  2. Step 2: Convert to fraction form
    7,264.62/10,916.64 = 6,099.84/x
  3. Step 3: Cross multiply
    7,264.62x = 10,916.64 × 6,099.84
  4. Step 4: Simplify right side
    7,264.62x = 66,589,757.34
  5. Step 5: Solve for x
    x = 66,589,757.34/7,264.62
  6. Step 6: Final answer
    x = 9,166.31

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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.