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Finding the Fourth Proportional to 11,569.28, 15,966.08 and 8,213.28

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Solution

The fourth proportional to 11,569.28, 15,966.08 and 8,213.28 is: 11,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.28 : 15,966.08 = 8,213.28 : x
  2. Step 2: Convert to fraction form
    11,569.28/15,966.08 = 8,213.28/x
  3. Step 3: Cross multiply
    11,569.28x = 15,966.08 × 8,213.28
  4. Step 4: Simplify right side
    11,569.28x = 131,133,885.54
  5. Step 5: Solve for x
    x = 131,133,885.54/11,569.28
  6. Step 6: Final answer
    x = 11,334.66

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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.