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Finding the Fourth Proportional to 11,567.66, 15,962.76 and 6,786.94

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Solution

The fourth proportional to 11,567.66, 15,962.76 and 6,786.94 is: 9,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.66 : 15,962.76 = 6,786.94 : x
  2. Step 2: Convert to fraction form
    11,567.66/15,962.76 = 6,786.94/x
  3. Step 3: Cross multiply
    11,567.66x = 15,962.76 × 6,786.94
  4. Step 4: Simplify right side
    11,567.66x = 108,338,294.35
  5. Step 5: Solve for x
    x = 108,338,294.35/11,567.66
  6. Step 6: Final answer
    x = 9,365.62

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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.