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Finding the Fourth Proportional to 7,029, 10,544.04 and 2,412

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Solution

The fourth proportional to 7,029, 10,544.04 and 2,412 is: 3,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029 : 10,544.04 = 2,412 : x
  2. Step 2: Convert to fraction form
    7,029/10,544.04 = 2,412/x
  3. Step 3: Cross multiply
    7,029x = 10,544.04 × 2,412
  4. Step 4: Simplify right side
    7,029x = 25,432,224.48
  5. Step 5: Solve for x
    x = 25,432,224.48/7,029
  6. Step 6: Final answer
    x = 3,618.19

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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.