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Finding the Fourth Proportional to 7,299.28, 10,946.01 and 3,141.16

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Solution

The fourth proportional to 7,299.28, 10,946.01 and 3,141.16 is: 4,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.28 : 10,946.01 = 3,141.16 : x
  2. Step 2: Convert to fraction form
    7,299.28/10,946.01 = 3,141.16/x
  3. Step 3: Cross multiply
    7,299.28x = 10,946.01 × 3,141.16
  4. Step 4: Simplify right side
    7,299.28x = 34,383,168.77
  5. Step 5: Solve for x
    x = 34,383,168.77/7,299.28
  6. Step 6: Final answer
    x = 4,710.49

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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.