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Finding the Fourth Proportional to 10,213.82, 15,316.79 and 6,054.96

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Solution

The fourth proportional to 10,213.82, 15,316.79 and 6,054.96 is: 9,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.82 : 15,316.79 = 6,054.96 : x
  2. Step 2: Convert to fraction form
    10,213.82/15,316.79 = 6,054.96/x
  3. Step 3: Cross multiply
    10,213.82x = 15,316.79 × 6,054.96
  4. Step 4: Simplify right side
    10,213.82x = 92,742,520.50
  5. Step 5: Solve for x
    x = 92,742,520.50/10,213.82
  6. Step 6: Final answer
    x = 9,080.11

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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.