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Finding the Fourth Proportional to 7,428.40, 11,142.23 and 1,881.84

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Solution

The fourth proportional to 7,428.40, 11,142.23 and 1,881.84 is: 2,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.40 : 11,142.23 = 1,881.84 : x
  2. Step 2: Convert to fraction form
    7,428.40/11,142.23 = 1,881.84/x
  3. Step 3: Cross multiply
    7,428.40x = 11,142.23 × 1,881.84
  4. Step 4: Simplify right side
    7,428.40x = 20,967,894.10
  5. Step 5: Solve for x
    x = 20,967,894.10/7,428.40
  6. Step 6: Final answer
    x = 2,822.67

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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.