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Finding the Fourth Proportional to 8,520.84, 11,756.01 and 5,162.58

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Solution

The fourth proportional to 8,520.84, 11,756.01 and 5,162.58 is: 7,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.84 : 11,756.01 = 5,162.58 : x
  2. Step 2: Convert to fraction form
    8,520.84/11,756.01 = 5,162.58/x
  3. Step 3: Cross multiply
    8,520.84x = 11,756.01 × 5,162.58
  4. Step 4: Simplify right side
    8,520.84x = 60,691,342.11
  5. Step 5: Solve for x
    x = 60,691,342.11/8,520.84
  6. Step 6: Final answer
    x = 7,122.69

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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.