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Finding the Fourth Proportional to 7,582.30, 11,375.34 and 4,464.88

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Solution

The fourth proportional to 7,582.30, 11,375.34 and 4,464.88 is: 6,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.30 : 11,375.34 = 4,464.88 : x
  2. Step 2: Convert to fraction form
    7,582.30/11,375.34 = 4,464.88/x
  3. Step 3: Cross multiply
    7,582.30x = 11,375.34 × 4,464.88
  4. Step 4: Simplify right side
    7,582.30x = 50,789,528.06
  5. Step 5: Solve for x
    x = 50,789,528.06/7,582.30
  6. Step 6: Final answer
    x = 6,698.43

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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.