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Finding the Fourth Proportional to 7,201.69, 10,804.04 and 3,041.71

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Solution

The fourth proportional to 7,201.69, 10,804.04 and 3,041.71 is: 4,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.69 : 10,804.04 = 3,041.71 : x
  2. Step 2: Convert to fraction form
    7,201.69/10,804.04 = 3,041.71/x
  3. Step 3: Cross multiply
    7,201.69x = 10,804.04 × 3,041.71
  4. Step 4: Simplify right side
    7,201.69x = 32,862,687.28
  5. Step 5: Solve for x
    x = 32,862,687.28/7,201.69
  6. Step 6: Final answer
    x = 4,563.19

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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.