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Finding the Fourth Proportional to 7,682.58, 11,525.04 and 3,064.50

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Solution

The fourth proportional to 7,682.58, 11,525.04 and 3,064.50 is: 4,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.58 : 11,525.04 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    7,682.58/11,525.04 = 3,064.50/x
  3. Step 3: Cross multiply
    7,682.58x = 11,525.04 × 3,064.50
  4. Step 4: Simplify right side
    7,682.58x = 35,318,485.08
  5. Step 5: Solve for x
    x = 35,318,485.08/7,682.58
  6. Step 6: Final answer
    x = 4,597.22

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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.