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Finding the Fourth Proportional to 10,712.76, 16,072.65 and 6,759.45

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Solution

The fourth proportional to 10,712.76, 16,072.65 and 6,759.45 is: 10,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.76 : 16,072.65 = 6,759.45 : x
  2. Step 2: Convert to fraction form
    10,712.76/16,072.65 = 6,759.45/x
  3. Step 3: Cross multiply
    10,712.76x = 16,072.65 × 6,759.45
  4. Step 4: Simplify right side
    10,712.76x = 108,642,274.04
  5. Step 5: Solve for x
    x = 108,642,274.04/10,712.76
  6. Step 6: Final answer
    x = 10,141.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.