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Finding the Fourth Proportional to 8,141.70, 12,212.01 and 3,698.31

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Solution

The fourth proportional to 8,141.70, 12,212.01 and 3,698.31 is: 5,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.70 : 12,212.01 = 3,698.31 : x
  2. Step 2: Convert to fraction form
    8,141.70/12,212.01 = 3,698.31/x
  3. Step 3: Cross multiply
    8,141.70x = 12,212.01 × 3,698.31
  4. Step 4: Simplify right side
    8,141.70x = 45,163,798.70
  5. Step 5: Solve for x
    x = 45,163,798.70/8,141.70
  6. Step 6: Final answer
    x = 5,547.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.