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Finding the Fourth Proportional to 7,166.32, 10,749.32 and 2,235.36

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Solution

The fourth proportional to 7,166.32, 10,749.32 and 2,235.36 is: 3,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.32 : 10,749.32 = 2,235.36 : x
  2. Step 2: Convert to fraction form
    7,166.32/10,749.32 = 2,235.36/x
  3. Step 3: Cross multiply
    7,166.32x = 10,749.32 × 2,235.36
  4. Step 4: Simplify right side
    7,166.32x = 24,028,599.96
  5. Step 5: Solve for x
    x = 24,028,599.96/7,166.32
  6. Step 6: Final answer
    x = 3,352.99

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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.