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Finding the Fourth Proportional to 7,735.62, 10,671.69 and 5,216.91

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Solution

The fourth proportional to 7,735.62, 10,671.69 and 5,216.91 is: 7,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.62 : 10,671.69 = 5,216.91 : x
  2. Step 2: Convert to fraction form
    7,735.62/10,671.69 = 5,216.91/x
  3. Step 3: Cross multiply
    7,735.62x = 10,671.69 × 5,216.91
  4. Step 4: Simplify right side
    7,735.62x = 55,673,246.28
  5. Step 5: Solve for x
    x = 55,673,246.28/7,735.62
  6. Step 6: Final answer
    x = 7,197.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.