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Finding the Fourth Proportional to 7,929.21, 11,897.88 and 4,033.62

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Solution

The fourth proportional to 7,929.21, 11,897.88 and 4,033.62 is: 6,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.21 : 11,897.88 = 4,033.62 : x
  2. Step 2: Convert to fraction form
    7,929.21/11,897.88 = 4,033.62/x
  3. Step 3: Cross multiply
    7,929.21x = 11,897.88 × 4,033.62
  4. Step 4: Simplify right side
    7,929.21x = 47,991,526.73
  5. Step 5: Solve for x
    x = 47,991,526.73/7,929.21
  6. Step 6: Final answer
    x = 6,052.50

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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.