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Finding the Fourth Proportional to 7,190.32, 9,921 and 4,045.36

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Solution

The fourth proportional to 7,190.32, 9,921 and 4,045.36 is: 5,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.32 : 9,921 = 4,045.36 : x
  2. Step 2: Convert to fraction form
    7,190.32/9,921 = 4,045.36/x
  3. Step 3: Cross multiply
    7,190.32x = 9,921 × 4,045.36
  4. Step 4: Simplify right side
    7,190.32x = 40,134,016.56
  5. Step 5: Solve for x
    x = 40,134,016.56/7,190.32
  6. Step 6: Final answer
    x = 5,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.