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Finding the Fourth Proportional to 7,232.82, 10,852.32 and 2,302.86

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Solution

The fourth proportional to 7,232.82, 10,852.32 and 2,302.86 is: 3,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.82 : 10,852.32 = 2,302.86 : x
  2. Step 2: Convert to fraction form
    7,232.82/10,852.32 = 2,302.86/x
  3. Step 3: Cross multiply
    7,232.82x = 10,852.32 × 2,302.86
  4. Step 4: Simplify right side
    7,232.82x = 24,991,373.64
  5. Step 5: Solve for x
    x = 24,991,373.64/7,232.82
  6. Step 6: Final answer
    x = 3,455.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.