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Finding the Fourth Proportional to 11,973.14, 17,957.40 and 4,575.84

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Solution

The fourth proportional to 11,973.14, 17,957.40 and 4,575.84 is: 6,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.14 : 17,957.40 = 4,575.84 : x
  2. Step 2: Convert to fraction form
    11,973.14/17,957.40 = 4,575.84/x
  3. Step 3: Cross multiply
    11,973.14x = 17,957.40 × 4,575.84
  4. Step 4: Simplify right side
    11,973.14x = 82,170,205.73
  5. Step 5: Solve for x
    x = 82,170,205.73/11,973.14
  6. Step 6: Final answer
    x = 6,862.88

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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.