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Finding the Fourth Proportional to 7,008.06, 10,511.84 and 2,847.98

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Solution

The fourth proportional to 7,008.06, 10,511.84 and 2,847.98 is: 4,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.06 : 10,511.84 = 2,847.98 : x
  2. Step 2: Convert to fraction form
    7,008.06/10,511.84 = 2,847.98/x
  3. Step 3: Cross multiply
    7,008.06x = 10,511.84 × 2,847.98
  4. Step 4: Simplify right side
    7,008.06x = 29,937,510.08
  5. Step 5: Solve for x
    x = 29,937,510.08/7,008.06
  6. Step 6: Final answer
    x = 4,271.87

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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.