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Finding the Fourth Proportional to 11,842.40, 17,760.87 and 5,265

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Solution

The fourth proportional to 11,842.40, 17,760.87 and 5,265 is: 7,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.40 : 17,760.87 = 5,265 : x
  2. Step 2: Convert to fraction form
    11,842.40/17,760.87 = 5,265/x
  3. Step 3: Cross multiply
    11,842.40x = 17,760.87 × 5,265
  4. Step 4: Simplify right side
    11,842.40x = 93,510,980.55
  5. Step 5: Solve for x
    x = 93,510,980.55/11,842.40
  6. Step 6: Final answer
    x = 7,896.28

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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.