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Finding the Fourth Proportional to 11,368.46, 17,055 and 4,794.64

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Solution

The fourth proportional to 11,368.46, 17,055 and 4,794.64 is: 7,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.46 : 17,055 = 4,794.64 : x
  2. Step 2: Convert to fraction form
    11,368.46/17,055 = 4,794.64/x
  3. Step 3: Cross multiply
    11,368.46x = 17,055 × 4,794.64
  4. Step 4: Simplify right side
    11,368.46x = 81,772,542.56
  5. Step 5: Solve for x
    x = 81,772,542.56/11,368.46
  6. Step 6: Final answer
    x = 7,192.93

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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.