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Finding the Fourth Proportional to 7,122.70, 10,688.07 and 3,835.72

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Solution

The fourth proportional to 7,122.70, 10,688.07 and 3,835.72 is: 5,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.70 : 10,688.07 = 3,835.72 : x
  2. Step 2: Convert to fraction form
    7,122.70/10,688.07 = 3,835.72/x
  3. Step 3: Cross multiply
    7,122.70x = 10,688.07 × 3,835.72
  4. Step 4: Simplify right side
    7,122.70x = 40,996,443.86
  5. Step 5: Solve for x
    x = 40,996,443.86/7,122.70
  6. Step 6: Final answer
    x = 5,755.74

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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.