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Finding the Fourth Proportional to 7,804.57, 11,708.01 and 2,873.83

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Solution

The fourth proportional to 7,804.57, 11,708.01 and 2,873.83 is: 4,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.57 : 11,708.01 = 2,873.83 : x
  2. Step 2: Convert to fraction form
    7,804.57/11,708.01 = 2,873.83/x
  3. Step 3: Cross multiply
    7,804.57x = 11,708.01 × 2,873.83
  4. Step 4: Simplify right side
    7,804.57x = 33,646,771.84
  5. Step 5: Solve for x
    x = 33,646,771.84/7,804.57
  6. Step 6: Final answer
    x = 4,311.17

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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.