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Finding the Fourth Proportional to 7,415.87, 10,233.90 and 4,058.67

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Solution

The fourth proportional to 7,415.87, 10,233.90 and 4,058.67 is: 5,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.87 : 10,233.90 = 4,058.67 : x
  2. Step 2: Convert to fraction form
    7,415.87/10,233.90 = 4,058.67/x
  3. Step 3: Cross multiply
    7,415.87x = 10,233.90 × 4,058.67
  4. Step 4: Simplify right side
    7,415.87x = 41,536,022.91
  5. Step 5: Solve for x
    x = 41,536,022.91/7,415.87
  6. Step 6: Final answer
    x = 5,600.96

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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.