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Finding the Fourth Proportional to 7,471.49, 11,208.98 and 4,186.85

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Solution

The fourth proportional to 7,471.49, 11,208.98 and 4,186.85 is: 6,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.49 : 11,208.98 = 4,186.85 : x
  2. Step 2: Convert to fraction form
    7,471.49/11,208.98 = 4,186.85/x
  3. Step 3: Cross multiply
    7,471.49x = 11,208.98 × 4,186.85
  4. Step 4: Simplify right side
    7,471.49x = 46,930,272.34
  5. Step 5: Solve for x
    x = 46,930,272.34/7,471.49
  6. Step 6: Final answer
    x = 6,281.25

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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.