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Finding the Fourth Proportional to 11,412.50, 15,749.60 and 6,376.94

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Solution

The fourth proportional to 11,412.50, 15,749.60 and 6,376.94 is: 8,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.50 : 15,749.60 = 6,376.94 : x
  2. Step 2: Convert to fraction form
    11,412.50/15,749.60 = 6,376.94/x
  3. Step 3: Cross multiply
    11,412.50x = 15,749.60 × 6,376.94
  4. Step 4: Simplify right side
    11,412.50x = 100,434,254.22
  5. Step 5: Solve for x
    x = 100,434,254.22/11,412.50
  6. Step 6: Final answer
    x = 8,800.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.