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Finding the Fourth Proportional to 7,736.02, 11,603.93 and 1,892.68

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Solution

The fourth proportional to 7,736.02, 11,603.93 and 1,892.68 is: 2,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.02 : 11,603.93 = 1,892.68 : x
  2. Step 2: Convert to fraction form
    7,736.02/11,603.93 = 1,892.68/x
  3. Step 3: Cross multiply
    7,736.02x = 11,603.93 × 1,892.68
  4. Step 4: Simplify right side
    7,736.02x = 21,962,487.76
  5. Step 5: Solve for x
    x = 21,962,487.76/7,736.02
  6. Step 6: Final answer
    x = 2,838.99

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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.