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Finding the Fourth Proportional to 11,752.14, 17,615.84 and 3,852.60

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Solution

The fourth proportional to 11,752.14, 17,615.84 and 3,852.60 is: 5,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.14 : 17,615.84 = 3,852.60 : x
  2. Step 2: Convert to fraction form
    11,752.14/17,615.84 = 3,852.60/x
  3. Step 3: Cross multiply
    11,752.14x = 17,615.84 × 3,852.60
  4. Step 4: Simplify right side
    11,752.14x = 67,866,776.89
  5. Step 5: Solve for x
    x = 67,866,776.89/11,752.14
  6. Step 6: Final answer
    x = 5,774.84

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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.