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Finding the Fourth Proportional to 10,904.12, 16,353.75 and 5,057.54

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Solution

The fourth proportional to 10,904.12, 16,353.75 and 5,057.54 is: 7,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.12 : 16,353.75 = 5,057.54 : x
  2. Step 2: Convert to fraction form
    10,904.12/16,353.75 = 5,057.54/x
  3. Step 3: Cross multiply
    10,904.12x = 16,353.75 × 5,057.54
  4. Step 4: Simplify right side
    10,904.12x = 82,709,744.78
  5. Step 5: Solve for x
    x = 82,709,744.78/10,904.12
  6. Step 6: Final answer
    x = 7,585.18

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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.