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Finding the Fourth Proportional to 8,187.46, 11,303.98 and 5,166.81

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Solution

The fourth proportional to 8,187.46, 11,303.98 and 5,166.81 is: 7,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.46 : 11,303.98 = 5,166.81 : x
  2. Step 2: Convert to fraction form
    8,187.46/11,303.98 = 5,166.81/x
  3. Step 3: Cross multiply
    8,187.46x = 11,303.98 × 5,166.81
  4. Step 4: Simplify right side
    8,187.46x = 58,405,503.99
  5. Step 5: Solve for x
    x = 58,405,503.99/8,187.46
  6. Step 6: Final answer
    x = 7,133.53

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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.