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Finding the Fourth Proportional to 7,842.50, 11,764.56 and 3,164.12

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Solution

The fourth proportional to 7,842.50, 11,764.56 and 3,164.12 is: 4,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.50 : 11,764.56 = 3,164.12 : x
  2. Step 2: Convert to fraction form
    7,842.50/11,764.56 = 3,164.12/x
  3. Step 3: Cross multiply
    7,842.50x = 11,764.56 × 3,164.12
  4. Step 4: Simplify right side
    7,842.50x = 37,224,479.59
  5. Step 5: Solve for x
    x = 37,224,479.59/7,842.50
  6. Step 6: Final answer
    x = 4,746.51

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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.