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Finding the Fourth Proportional to 10,234.98, 15,352.47 and 3,663.05

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Solution

The fourth proportional to 10,234.98, 15,352.47 and 3,663.05 is: 5,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.98 : 15,352.47 = 3,663.05 : x
  2. Step 2: Convert to fraction form
    10,234.98/15,352.47 = 3,663.05/x
  3. Step 3: Cross multiply
    10,234.98x = 15,352.47 × 3,663.05
  4. Step 4: Simplify right side
    10,234.98x = 56,236,788.47
  5. Step 5: Solve for x
    x = 56,236,788.47/10,234.98
  6. Step 6: Final answer
    x = 5,494.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.