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Finding the Fourth Proportional to 10,714.29, 16,065.63 and 3,316.74

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Solution

The fourth proportional to 10,714.29, 16,065.63 and 3,316.74 is: 4,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.29 : 16,065.63 = 3,316.74 : x
  2. Step 2: Convert to fraction form
    10,714.29/16,065.63 = 3,316.74/x
  3. Step 3: Cross multiply
    10,714.29x = 16,065.63 × 3,316.74
  4. Step 4: Simplify right side
    10,714.29x = 53,285,517.65
  5. Step 5: Solve for x
    x = 53,285,517.65/10,714.29
  6. Step 6: Final answer
    x = 4,973.31

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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.