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Finding the Fourth Proportional to 8,228.10, 11,347.62 and 5,714.40

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Solution

The fourth proportional to 8,228.10, 11,347.62 and 5,714.40 is: 7,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.10 : 11,347.62 = 5,714.40 : x
  2. Step 2: Convert to fraction form
    8,228.10/11,347.62 = 5,714.40/x
  3. Step 3: Cross multiply
    8,228.10x = 11,347.62 × 5,714.40
  4. Step 4: Simplify right side
    8,228.10x = 64,844,839.73
  5. Step 5: Solve for x
    x = 64,844,839.73/8,228.10
  6. Step 6: Final answer
    x = 7,880.90

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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.