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Finding the Fourth Proportional to 7,153.31, 9,874.31 and 4,796.82

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Solution

The fourth proportional to 7,153.31, 9,874.31 and 4,796.82 is: 6,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.31 : 9,874.31 = 4,796.82 : x
  2. Step 2: Convert to fraction form
    7,153.31/9,874.31 = 4,796.82/x
  3. Step 3: Cross multiply
    7,153.31x = 9,874.31 × 4,796.82
  4. Step 4: Simplify right side
    7,153.31x = 47,365,263.71
  5. Step 5: Solve for x
    x = 47,365,263.71/7,153.31
  6. Step 6: Final answer
    x = 6,621.44

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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.