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Finding the Fourth Proportional to 7,011.76, 10,517.64 and 3,115.12

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Solution

The fourth proportional to 7,011.76, 10,517.64 and 3,115.12 is: 4,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.76 : 10,517.64 = 3,115.12 : x
  2. Step 2: Convert to fraction form
    7,011.76/10,517.64 = 3,115.12/x
  3. Step 3: Cross multiply
    7,011.76x = 10,517.64 × 3,115.12
  4. Step 4: Simplify right side
    7,011.76x = 32,763,710.72
  5. Step 5: Solve for x
    x = 32,763,710.72/7,011.76
  6. Step 6: Final answer
    x = 4,672.68

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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.