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Finding the Fourth Proportional to 7,917.81, 11,860.29 and 4,014

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Solution

The fourth proportional to 7,917.81, 11,860.29 and 4,014 is: 6,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.81 : 11,860.29 = 4,014 : x
  2. Step 2: Convert to fraction form
    7,917.81/11,860.29 = 4,014/x
  3. Step 3: Cross multiply
    7,917.81x = 11,860.29 × 4,014
  4. Step 4: Simplify right side
    7,917.81x = 47,607,204.06
  5. Step 5: Solve for x
    x = 47,607,204.06/7,917.81
  6. Step 6: Final answer
    x = 6,012.67

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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.