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Finding the Fourth Proportional to 7,202.13, 10,804.01 and 3,920.01

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Solution

The fourth proportional to 7,202.13, 10,804.01 and 3,920.01 is: 5,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.13 : 10,804.01 = 3,920.01 : x
  2. Step 2: Convert to fraction form
    7,202.13/10,804.01 = 3,920.01/x
  3. Step 3: Cross multiply
    7,202.13x = 10,804.01 × 3,920.01
  4. Step 4: Simplify right side
    7,202.13x = 42,351,807.64
  5. Step 5: Solve for x
    x = 42,351,807.64/7,202.13
  6. Step 6: Final answer
    x = 5,880.46

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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.