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Finding the Fourth Proportional to 7,524.63, 11,293.88 and 3,829.50

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Solution

The fourth proportional to 7,524.63, 11,293.88 and 3,829.50 is: 5,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.63 : 11,293.88 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    7,524.63/11,293.88 = 3,829.50/x
  3. Step 3: Cross multiply
    7,524.63x = 11,293.88 × 3,829.50
  4. Step 4: Simplify right side
    7,524.63x = 43,249,894.31
  5. Step 5: Solve for x
    x = 43,249,894.31/7,524.63
  6. Step 6: Final answer
    x = 5,747.78

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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.