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Finding the Fourth Proportional to 7,748.66, 11,622.57 and 4,544.74

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Solution

The fourth proportional to 7,748.66, 11,622.57 and 4,544.74 is: 6,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.66 : 11,622.57 = 4,544.74 : x
  2. Step 2: Convert to fraction form
    7,748.66/11,622.57 = 4,544.74/x
  3. Step 3: Cross multiply
    7,748.66x = 11,622.57 × 4,544.74
  4. Step 4: Simplify right side
    7,748.66x = 52,821,500.67
  5. Step 5: Solve for x
    x = 52,821,500.67/7,748.66
  6. Step 6: Final answer
    x = 6,816.86

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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.