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Finding the Fourth Proportional to 28,485, 42,729.93 and 7,708.50

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Solution

The fourth proportional to 28,485, 42,729.93 and 7,708.50 is: 11,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,485 : 42,729.93 = 7,708.50 : x
  2. Step 2: Convert to fraction form
    28,485/42,729.93 = 7,708.50/x
  3. Step 3: Cross multiply
    28,485x = 42,729.93 × 7,708.50
  4. Step 4: Simplify right side
    28,485x = 329,383,665.41
  5. Step 5: Solve for x
    x = 329,383,665.41/28,485
  6. Step 6: Final answer
    x = 11,563.41

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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.