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Finding the Fourth Proportional to 10,714.40, 16,071.60 and 6,336.80

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Solution

The fourth proportional to 10,714.40, 16,071.60 and 6,336.80 is: 9,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.40 : 16,071.60 = 6,336.80 : x
  2. Step 2: Convert to fraction form
    10,714.40/16,071.60 = 6,336.80/x
  3. Step 3: Cross multiply
    10,714.40x = 16,071.60 × 6,336.80
  4. Step 4: Simplify right side
    10,714.40x = 101,842,514.88
  5. Step 5: Solve for x
    x = 101,842,514.88/10,714.40
  6. Step 6: Final answer
    x = 9,505.20

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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.