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Finding the Fourth Proportional to 7,154.01, 10,733.09 and 2,991.87

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Solution

The fourth proportional to 7,154.01, 10,733.09 and 2,991.87 is: 4,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.01 : 10,733.09 = 2,991.87 : x
  2. Step 2: Convert to fraction form
    7,154.01/10,733.09 = 2,991.87/x
  3. Step 3: Cross multiply
    7,154.01x = 10,733.09 × 2,991.87
  4. Step 4: Simplify right side
    7,154.01x = 32,111,995.02
  5. Step 5: Solve for x
    x = 32,111,995.02/7,154.01
  6. Step 6: Final answer
    x = 4,488.67

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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.