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Finding the Fourth Proportional to 10,928.61, 16,388.75 and 3,907.33

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Solution

The fourth proportional to 10,928.61, 16,388.75 and 3,907.33 is: 5,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.61 : 16,388.75 = 3,907.33 : x
  2. Step 2: Convert to fraction form
    10,928.61/16,388.75 = 3,907.33/x
  3. Step 3: Cross multiply
    10,928.61x = 16,388.75 × 3,907.33
  4. Step 4: Simplify right side
    10,928.61x = 64,036,223.33
  5. Step 5: Solve for x
    x = 64,036,223.33/10,928.61
  6. Step 6: Final answer
    x = 5,859.50

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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.