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Finding the Fourth Proportional to 7,703.34, 10,630.54 and 4,166.56

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Solution

The fourth proportional to 7,703.34, 10,630.54 and 4,166.56 is: 5,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.34 : 10,630.54 = 4,166.56 : x
  2. Step 2: Convert to fraction form
    7,703.34/10,630.54 = 4,166.56/x
  3. Step 3: Cross multiply
    7,703.34x = 10,630.54 × 4,166.56
  4. Step 4: Simplify right side
    7,703.34x = 44,292,741.44
  5. Step 5: Solve for x
    x = 44,292,741.44/7,703.34
  6. Step 6: Final answer
    x = 5,749.81

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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.