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Finding the Fourth Proportional to 7,309.56, 10,087.50 and 4,166.52

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Solution

The fourth proportional to 7,309.56, 10,087.50 and 4,166.52 is: 5,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.56 : 10,087.50 = 4,166.52 : x
  2. Step 2: Convert to fraction form
    7,309.56/10,087.50 = 4,166.52/x
  3. Step 3: Cross multiply
    7,309.56x = 10,087.50 × 4,166.52
  4. Step 4: Simplify right side
    7,309.56x = 42,029,770.50
  5. Step 5: Solve for x
    x = 42,029,770.50/7,309.56
  6. Step 6: Final answer
    x = 5,749.97

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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.