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Finding the Fourth Proportional to 11,215.89, 15,477.86 and 6,180

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Solution

The fourth proportional to 11,215.89, 15,477.86 and 6,180 is: 8,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.89 : 15,477.86 = 6,180 : x
  2. Step 2: Convert to fraction form
    11,215.89/15,477.86 = 6,180/x
  3. Step 3: Cross multiply
    11,215.89x = 15,477.86 × 6,180
  4. Step 4: Simplify right side
    11,215.89x = 95,653,174.80
  5. Step 5: Solve for x
    x = 95,653,174.80/11,215.89
  6. Step 6: Final answer
    x = 8,528.36

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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.