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Finding the Fourth Proportional to 10,318, 15,457.08 and 6,161.34

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Solution

The fourth proportional to 10,318, 15,457.08 and 6,161.34 is: 9,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 15,457.08 = 6,161.34 : x
  2. Step 2: Convert to fraction form
    10,318/15,457.08 = 6,161.34/x
  3. Step 3: Cross multiply
    10,318x = 15,457.08 × 6,161.34
  4. Step 4: Simplify right side
    10,318x = 95,236,325.29
  5. Step 5: Solve for x
    x = 95,236,325.29/10,318
  6. Step 6: Final answer
    x = 9,230.11

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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.