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Finding the Fourth Proportional to 8,510.36, 11,742.56 and 4,972.88

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Solution

The fourth proportional to 8,510.36, 11,742.56 and 4,972.88 is: 6,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.36 : 11,742.56 = 4,972.88 : x
  2. Step 2: Convert to fraction form
    8,510.36/11,742.56 = 4,972.88/x
  3. Step 3: Cross multiply
    8,510.36x = 11,742.56 × 4,972.88
  4. Step 4: Simplify right side
    8,510.36x = 58,394,364.91
  5. Step 5: Solve for x
    x = 58,394,364.91/8,510.36
  6. Step 6: Final answer
    x = 6,861.57

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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.