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Finding the Fourth Proportional to 7,638.50, 10,540.56 and 4,653.86

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Solution

The fourth proportional to 7,638.50, 10,540.56 and 4,653.86 is: 6,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.50 : 10,540.56 = 4,653.86 : x
  2. Step 2: Convert to fraction form
    7,638.50/10,540.56 = 4,653.86/x
  3. Step 3: Cross multiply
    7,638.50x = 10,540.56 × 4,653.86
  4. Step 4: Simplify right side
    7,638.50x = 49,054,255.31
  5. Step 5: Solve for x
    x = 49,054,255.31/7,638.50
  6. Step 6: Final answer
    x = 6,421.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.