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Finding the Fourth Proportional to 7,873.96, 11,807.90 and 2,942.28

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Solution

The fourth proportional to 7,873.96, 11,807.90 and 2,942.28 is: 4,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.96 : 11,807.90 = 2,942.28 : x
  2. Step 2: Convert to fraction form
    7,873.96/11,807.90 = 2,942.28/x
  3. Step 3: Cross multiply
    7,873.96x = 11,807.90 × 2,942.28
  4. Step 4: Simplify right side
    7,873.96x = 34,742,148.01
  5. Step 5: Solve for x
    x = 34,742,148.01/7,873.96
  6. Step 6: Final answer
    x = 4,412.28

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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.