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Finding the Fourth Proportional to 7,649.56, 11,466.98 and 4,184.38

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Solution

The fourth proportional to 7,649.56, 11,466.98 and 4,184.38 is: 6,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.56 : 11,466.98 = 4,184.38 : x
  2. Step 2: Convert to fraction form
    7,649.56/11,466.98 = 4,184.38/x
  3. Step 3: Cross multiply
    7,649.56x = 11,466.98 × 4,184.38
  4. Step 4: Simplify right side
    7,649.56x = 47,982,123.52
  5. Step 5: Solve for x
    x = 47,982,123.52/7,649.56
  6. Step 6: Final answer
    x = 6,272.54

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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.