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Finding the Fourth Proportional to 8,204.80, 11,330.40 and 6,714.40

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Solution

The fourth proportional to 8,204.80, 11,330.40 and 6,714.40 is: 9,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.80 : 11,330.40 = 6,714.40 : x
  2. Step 2: Convert to fraction form
    8,204.80/11,330.40 = 6,714.40/x
  3. Step 3: Cross multiply
    8,204.80x = 11,330.40 × 6,714.40
  4. Step 4: Simplify right side
    8,204.80x = 76,076,837.76
  5. Step 5: Solve for x
    x = 76,076,837.76/8,204.80
  6. Step 6: Final answer
    x = 9,272.24

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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.