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Finding the Fourth Proportional to 7,648.09, 11,493.80 and 4,528.67

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Solution

The fourth proportional to 7,648.09, 11,493.80 and 4,528.67 is: 6,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.09 : 11,493.80 = 4,528.67 : x
  2. Step 2: Convert to fraction form
    7,648.09/11,493.80 = 4,528.67/x
  3. Step 3: Cross multiply
    7,648.09x = 11,493.80 × 4,528.67
  4. Step 4: Simplify right side
    7,648.09x = 52,051,627.25
  5. Step 5: Solve for x
    x = 52,051,627.25/7,648.09
  6. Step 6: Final answer
    x = 6,805.83

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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.