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Finding the Fourth Proportional to 7,881.40, 11,821.14 and 2,038.42

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Solution

The fourth proportional to 7,881.40, 11,821.14 and 2,038.42 is: 3,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.40 : 11,821.14 = 2,038.42 : x
  2. Step 2: Convert to fraction form
    7,881.40/11,821.14 = 2,038.42/x
  3. Step 3: Cross multiply
    7,881.40x = 11,821.14 × 2,038.42
  4. Step 4: Simplify right side
    7,881.40x = 24,096,448.20
  5. Step 5: Solve for x
    x = 24,096,448.20/7,881.40
  6. Step 6: Final answer
    x = 3,057.38

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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.