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Finding the Fourth Proportional to 11,567.40, 17,338.68 and 4,996.68

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Solution

The fourth proportional to 11,567.40, 17,338.68 and 4,996.68 is: 7,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.40 : 17,338.68 = 4,996.68 : x
  2. Step 2: Convert to fraction form
    11,567.40/17,338.68 = 4,996.68/x
  3. Step 3: Cross multiply
    11,567.40x = 17,338.68 × 4,996.68
  4. Step 4: Simplify right side
    11,567.40x = 86,635,835.58
  5. Step 5: Solve for x
    x = 86,635,835.58/11,567.40
  6. Step 6: Final answer
    x = 7,489.66

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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.