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Finding the Fourth Proportional to 7,122.70, 10,664.85 and 7,122.70

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Solution

The fourth proportional to 7,122.70, 10,664.85 and 7,122.70 is: 10,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.70 : 10,664.85 = 7,122.70 : x
  2. Step 2: Convert to fraction form
    7,122.70/10,664.85 = 7,122.70/x
  3. Step 3: Cross multiply
    7,122.70x = 10,664.85 × 7,122.70
  4. Step 4: Simplify right side
    7,122.70x = 75,962,527.10
  5. Step 5: Solve for x
    x = 75,962,527.10/7,122.70
  6. Step 6: Final answer
    x = 10,664.85

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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.