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Finding the Fourth Proportional to 11,792.77, 17,678.84 and 4,768.45

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Solution

The fourth proportional to 11,792.77, 17,678.84 and 4,768.45 is: 7,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.77 : 17,678.84 = 4,768.45 : x
  2. Step 2: Convert to fraction form
    11,792.77/17,678.84 = 4,768.45/x
  3. Step 3: Cross multiply
    11,792.77x = 17,678.84 × 4,768.45
  4. Step 4: Simplify right side
    11,792.77x = 84,300,640.76
  5. Step 5: Solve for x
    x = 84,300,640.76/11,792.77
  6. Step 6: Final answer
    x = 7,148.50

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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.