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Finding the Fourth Proportional to 7,901.99, 11,853.44 and 2,971.67

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Solution

The fourth proportional to 7,901.99, 11,853.44 and 2,971.67 is: 4,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.99 : 11,853.44 = 2,971.67 : x
  2. Step 2: Convert to fraction form
    7,901.99/11,853.44 = 2,971.67/x
  3. Step 3: Cross multiply
    7,901.99x = 11,853.44 × 2,971.67
  4. Step 4: Simplify right side
    7,901.99x = 35,224,512.04
  5. Step 5: Solve for x
    x = 35,224,512.04/7,901.99
  6. Step 6: Final answer
    x = 4,457.68

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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.