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Finding the Fourth Proportional to 7,130.92, 10,696.92 and 1,936.72

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Solution

The fourth proportional to 7,130.92, 10,696.92 and 1,936.72 is: 2,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.92 : 10,696.92 = 1,936.72 : x
  2. Step 2: Convert to fraction form
    7,130.92/10,696.92 = 1,936.72/x
  3. Step 3: Cross multiply
    7,130.92x = 10,696.92 × 1,936.72
  4. Step 4: Simplify right side
    7,130.92x = 20,716,938.90
  5. Step 5: Solve for x
    x = 20,716,938.90/7,130.92
  6. Step 6: Final answer
    x = 2,905.23

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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.