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Finding the Fourth Proportional to 5,216.16, 7,883.40 and 5,125.44

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Solution

The fourth proportional to 5,216.16, 7,883.40 and 5,125.44 is: 7,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.16 : 7,883.40 = 5,125.44 : x
  2. Step 2: Convert to fraction form
    5,216.16/7,883.40 = 5,125.44/x
  3. Step 3: Cross multiply
    5,216.16x = 7,883.40 × 5,125.44
  4. Step 4: Simplify right side
    5,216.16x = 40,405,893.70
  5. Step 5: Solve for x
    x = 40,405,893.70/5,216.16
  6. Step 6: Final answer
    x = 7,746.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.