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Finding the Fourth Proportional to 11,412.58, 15,749.18 and 6,376.90

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Solution

The fourth proportional to 11,412.58, 15,749.18 and 6,376.90 is: 8,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.58 : 15,749.18 = 6,376.90 : x
  2. Step 2: Convert to fraction form
    11,412.58/15,749.18 = 6,376.90/x
  3. Step 3: Cross multiply
    11,412.58x = 15,749.18 × 6,376.90
  4. Step 4: Simplify right side
    11,412.58x = 100,430,945.94
  5. Step 5: Solve for x
    x = 100,430,945.94/11,412.58
  6. Step 6: Final answer
    x = 8,800.02

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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.