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Finding the Fourth Proportional to 10,065.36, 13,882.96 and 6,235.75

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Solution

The fourth proportional to 10,065.36, 13,882.96 and 6,235.75 is: 8,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.36 : 13,882.96 = 6,235.75 : x
  2. Step 2: Convert to fraction form
    10,065.36/13,882.96 = 6,235.75/x
  3. Step 3: Cross multiply
    10,065.36x = 13,882.96 × 6,235.75
  4. Step 4: Simplify right side
    10,065.36x = 86,570,636.64
  5. Step 5: Solve for x
    x = 86,570,636.64/10,065.36
  6. Step 6: Final answer
    x = 8,600.85

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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.