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Finding the Fourth Proportional to 7,427.90, 11,141.48 and 1,881.34

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Solution

The fourth proportional to 7,427.90, 11,141.48 and 1,881.34 is: 2,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.90 : 11,141.48 = 1,881.34 : x
  2. Step 2: Convert to fraction form
    7,427.90/11,141.48 = 1,881.34/x
  3. Step 3: Cross multiply
    7,427.90x = 11,141.48 × 1,881.34
  4. Step 4: Simplify right side
    7,427.90x = 20,960,911.98
  5. Step 5: Solve for x
    x = 20,960,911.98/7,427.90
  6. Step 6: Final answer
    x = 2,821.92

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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.