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Finding the Fourth Proportional to 7,459.86, 10,294.89 and 4,102.83

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Solution

The fourth proportional to 7,459.86, 10,294.89 and 4,102.83 is: 5,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.86 : 10,294.89 = 4,102.83 : x
  2. Step 2: Convert to fraction form
    7,459.86/10,294.89 = 4,102.83/x
  3. Step 3: Cross multiply
    7,459.86x = 10,294.89 × 4,102.83
  4. Step 4: Simplify right side
    7,459.86x = 42,238,183.54
  5. Step 5: Solve for x
    x = 42,238,183.54/7,459.86
  6. Step 6: Final answer
    x = 5,662.06

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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.