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Finding the Fourth Proportional to 12,497.13, 17,243.91 and 7,463.37

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Solution

The fourth proportional to 12,497.13, 17,243.91 and 7,463.37 is: 10,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.13 : 17,243.91 = 7,463.37 : x
  2. Step 2: Convert to fraction form
    12,497.13/17,243.91 = 7,463.37/x
  3. Step 3: Cross multiply
    12,497.13x = 17,243.91 × 7,463.37
  4. Step 4: Simplify right side
    12,497.13x = 128,697,680.58
  5. Step 5: Solve for x
    x = 128,697,680.58/12,497.13
  6. Step 6: Final answer
    x = 10,298.18

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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.