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Finding the Fourth Proportional to 7,416.14, 10,234.22 and 4,058.89

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Solution

The fourth proportional to 7,416.14, 10,234.22 and 4,058.89 is: 5,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.14 : 10,234.22 = 4,058.89 : x
  2. Step 2: Convert to fraction form
    7,416.14/10,234.22 = 4,058.89/x
  3. Step 3: Cross multiply
    7,416.14x = 10,234.22 × 4,058.89
  4. Step 4: Simplify right side
    7,416.14x = 41,539,573.22
  5. Step 5: Solve for x
    x = 41,539,573.22/7,416.14
  6. Step 6: Final answer
    x = 5,601.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.