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Finding the Fourth Proportional to 13,762.47, 18,992.66 and 7,794.01

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Solution

The fourth proportional to 13,762.47, 18,992.66 and 7,794.01 is: 10,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.47 : 18,992.66 = 7,794.01 : x
  2. Step 2: Convert to fraction form
    13,762.47/18,992.66 = 7,794.01/x
  3. Step 3: Cross multiply
    13,762.47x = 18,992.66 × 7,794.01
  4. Step 4: Simplify right side
    13,762.47x = 148,028,981.97
  5. Step 5: Solve for x
    x = 148,028,981.97/13,762.47
  6. Step 6: Final answer
    x = 10,755.99

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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.