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Finding the Fourth Proportional to 10,234.73, 15,346.62 and 3,657.32

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Solution

The fourth proportional to 10,234.73, 15,346.62 and 3,657.32 is: 5,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.73 : 15,346.62 = 3,657.32 : x
  2. Step 2: Convert to fraction form
    10,234.73/15,346.62 = 3,657.32/x
  3. Step 3: Cross multiply
    10,234.73x = 15,346.62 × 3,657.32
  4. Step 4: Simplify right side
    10,234.73x = 56,127,538.62
  5. Step 5: Solve for x
    x = 56,127,538.62/10,234.73
  6. Step 6: Final answer
    x = 5,484.03

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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.