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Finding the Fourth Proportional to 7,735.50, 10,675.18 and 4,749.64

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Solution

The fourth proportional to 7,735.50, 10,675.18 and 4,749.64 is: 6,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.50 : 10,675.18 = 4,749.64 : x
  2. Step 2: Convert to fraction form
    7,735.50/10,675.18 = 4,749.64/x
  3. Step 3: Cross multiply
    7,735.50x = 10,675.18 × 4,749.64
  4. Step 4: Simplify right side
    7,735.50x = 50,703,261.94
  5. Step 5: Solve for x
    x = 50,703,261.94/7,735.50
  6. Step 6: Final answer
    x = 6,554.62

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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.