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Finding the Fourth Proportional to 12,496, 17,240.46 and 7,461.04

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Solution

The fourth proportional to 12,496, 17,240.46 and 7,461.04 is: 10,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496 : 17,240.46 = 7,461.04 : x
  2. Step 2: Convert to fraction form
    12,496/17,240.46 = 7,461.04/x
  3. Step 3: Cross multiply
    12,496x = 17,240.46 × 7,461.04
  4. Step 4: Simplify right side
    12,496x = 128,631,761.68
  5. Step 5: Solve for x
    x = 128,631,761.68/12,496
  6. Step 6: Final answer
    x = 10,293.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.