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Finding the Fourth Proportional to 7,000.68, 10,497.70 and 2,069.32

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Solution

The fourth proportional to 7,000.68, 10,497.70 and 2,069.32 is: 3,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.68 : 10,497.70 = 2,069.32 : x
  2. Step 2: Convert to fraction form
    7,000.68/10,497.70 = 2,069.32/x
  3. Step 3: Cross multiply
    7,000.68x = 10,497.70 × 2,069.32
  4. Step 4: Simplify right side
    7,000.68x = 21,723,100.56
  5. Step 5: Solve for x
    x = 21,723,100.56/7,000.68
  6. Step 6: Final answer
    x = 3,103.00

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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.