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Finding the Fourth Proportional to 7,749.08, 10,693.70 and 4,212.30

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Solution

The fourth proportional to 7,749.08, 10,693.70 and 4,212.30 is: 5,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.08 : 10,693.70 = 4,212.30 : x
  2. Step 2: Convert to fraction form
    7,749.08/10,693.70 = 4,212.30/x
  3. Step 3: Cross multiply
    7,749.08x = 10,693.70 × 4,212.30
  4. Step 4: Simplify right side
    7,749.08x = 45,045,072.51
  5. Step 5: Solve for x
    x = 45,045,072.51/7,749.08
  6. Step 6: Final answer
    x = 5,812.96

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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.