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Finding the Fourth Proportional to 10,714.80, 16,066.44 and 3,316.08

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Solution

The fourth proportional to 10,714.80, 16,066.44 and 3,316.08 is: 4,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.80 : 16,066.44 = 3,316.08 : x
  2. Step 2: Convert to fraction form
    10,714.80/16,066.44 = 3,316.08/x
  3. Step 3: Cross multiply
    10,714.80x = 16,066.44 × 3,316.08
  4. Step 4: Simplify right side
    10,714.80x = 53,277,600.36
  5. Step 5: Solve for x
    x = 53,277,600.36/10,714.80
  6. Step 6: Final answer
    x = 4,972.34

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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.