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Finding the Fourth Proportional to 13,829.28, 19,087.11 and 7,860.30

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Solution

The fourth proportional to 13,829.28, 19,087.11 and 7,860.30 is: 10,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.28 : 19,087.11 = 7,860.30 : x
  2. Step 2: Convert to fraction form
    13,829.28/19,087.11 = 7,860.30/x
  3. Step 3: Cross multiply
    13,829.28x = 19,087.11 × 7,860.30
  4. Step 4: Simplify right side
    13,829.28x = 150,030,410.73
  5. Step 5: Solve for x
    x = 150,030,410.73/13,829.28
  6. Step 6: Final answer
    x = 10,848.75

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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.