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Finding the Fourth Proportional to 11,383.92, 17,065.62 and 4,810.50

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Solution

The fourth proportional to 11,383.92, 17,065.62 and 4,810.50 is: 7,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.92 : 17,065.62 = 4,810.50 : x
  2. Step 2: Convert to fraction form
    11,383.92/17,065.62 = 4,810.50/x
  3. Step 3: Cross multiply
    11,383.92x = 17,065.62 × 4,810.50
  4. Step 4: Simplify right side
    11,383.92x = 82,094,165.01
  5. Step 5: Solve for x
    x = 82,094,165.01/11,383.92
  6. Step 6: Final answer
    x = 7,211.41

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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.