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Finding the Fourth Proportional to 6,717.76, 10,076.70 and 2,768.08

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Solution

The fourth proportional to 6,717.76, 10,076.70 and 2,768.08 is: 4,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.76 : 10,076.70 = 2,768.08 : x
  2. Step 2: Convert to fraction form
    6,717.76/10,076.70 = 2,768.08/x
  3. Step 3: Cross multiply
    6,717.76x = 10,076.70 × 2,768.08
  4. Step 4: Simplify right side
    6,717.76x = 27,893,111.74
  5. Step 5: Solve for x
    x = 27,893,111.74/6,717.76
  6. Step 6: Final answer
    x = 4,152.14

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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.