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Finding the Fourth Proportional to 7,454.20, 11,171.70 and 5,714.20

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Solution

The fourth proportional to 7,454.20, 11,171.70 and 5,714.20 is: 8,563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.20 : 11,171.70 = 5,714.20 : x
  2. Step 2: Convert to fraction form
    7,454.20/11,171.70 = 5,714.20/x
  3. Step 3: Cross multiply
    7,454.20x = 11,171.70 × 5,714.20
  4. Step 4: Simplify right side
    7,454.20x = 63,837,328.14
  5. Step 5: Solve for x
    x = 63,837,328.14/7,454.20
  6. Step 6: Final answer
    x = 8,563.94

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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.