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Finding the Fourth Proportional to 10,729, 16,094.04 and 3,804.04

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Solution

The fourth proportional to 10,729, 16,094.04 and 3,804.04 is: 5,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729 : 16,094.04 = 3,804.04 : x
  2. Step 2: Convert to fraction form
    10,729/16,094.04 = 3,804.04/x
  3. Step 3: Cross multiply
    10,729x = 16,094.04 × 3,804.04
  4. Step 4: Simplify right side
    10,729x = 61,222,371.92
  5. Step 5: Solve for x
    x = 61,222,371.92/10,729
  6. Step 6: Final answer
    x = 5,706.25

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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.