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Finding the Fourth Proportional to 7,098.98, 9,796.58 and 4,116.54

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Solution

The fourth proportional to 7,098.98, 9,796.58 and 4,116.54 is: 5,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.98 : 9,796.58 = 4,116.54 : x
  2. Step 2: Convert to fraction form
    7,098.98/9,796.58 = 4,116.54/x
  3. Step 3: Cross multiply
    7,098.98x = 9,796.58 × 4,116.54
  4. Step 4: Simplify right side
    7,098.98x = 40,328,013.43
  5. Step 5: Solve for x
    x = 40,328,013.43/7,098.98
  6. Step 6: Final answer
    x = 5,680.82

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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.