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Finding the Fourth Proportional to 8,917.50, 12,305.73 and 5,141.34

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Solution

The fourth proportional to 8,917.50, 12,305.73 and 5,141.34 is: 7,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.50 : 12,305.73 = 5,141.34 : x
  2. Step 2: Convert to fraction form
    8,917.50/12,305.73 = 5,141.34/x
  3. Step 3: Cross multiply
    8,917.50x = 12,305.73 × 5,141.34
  4. Step 4: Simplify right side
    8,917.50x = 63,267,941.88
  5. Step 5: Solve for x
    x = 63,267,941.88/8,917.50
  6. Step 6: Final answer
    x = 7,094.81

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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.