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Finding the Fourth Proportional to 7,575, 11,363.58 and 2,028.52

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Solution

The fourth proportional to 7,575, 11,363.58 and 2,028.52 is: 3,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575 : 11,363.58 = 2,028.52 : x
  2. Step 2: Convert to fraction form
    7,575/11,363.58 = 2,028.52/x
  3. Step 3: Cross multiply
    7,575x = 11,363.58 × 2,028.52
  4. Step 4: Simplify right side
    7,575x = 23,051,249.30
  5. Step 5: Solve for x
    x = 23,051,249.30/7,575
  6. Step 6: Final answer
    x = 3,043.07

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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.