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Finding the Fourth Proportional to 11,180, 15,428.76 and 6,212

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Solution

The fourth proportional to 11,180, 15,428.76 and 6,212 is: 8,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180 : 15,428.76 = 6,212 : x
  2. Step 2: Convert to fraction form
    11,180/15,428.76 = 6,212/x
  3. Step 3: Cross multiply
    11,180x = 15,428.76 × 6,212
  4. Step 4: Simplify right side
    11,180x = 95,843,457.12
  5. Step 5: Solve for x
    x = 95,843,457.12/11,180
  6. Step 6: Final answer
    x = 8,572.76

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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.