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Finding the Fourth Proportional to 10,716.84, 16,148.28 and 8,811.72

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Solution

The fourth proportional to 10,716.84, 16,148.28 and 8,811.72 is: 13,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.84 : 16,148.28 = 8,811.72 : x
  2. Step 2: Convert to fraction form
    10,716.84/16,148.28 = 8,811.72/x
  3. Step 3: Cross multiply
    10,716.84x = 16,148.28 × 8,811.72
  4. Step 4: Simplify right side
    10,716.84x = 142,294,121.84
  5. Step 5: Solve for x
    x = 142,294,121.84/10,716.84
  6. Step 6: Final answer
    x = 13,277.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.