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Finding the Fourth Proportional to 7,714, 10,645.96 and 4,402.64

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Solution

The fourth proportional to 7,714, 10,645.96 and 4,402.64 is: 6,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 10,645.96 = 4,402.64 : x
  2. Step 2: Convert to fraction form
    7,714/10,645.96 = 4,402.64/x
  3. Step 3: Cross multiply
    7,714x = 10,645.96 × 4,402.64
  4. Step 4: Simplify right side
    7,714x = 46,870,329.33
  5. Step 5: Solve for x
    x = 46,870,329.33/7,714
  6. Step 6: Final answer
    x = 6,076.01

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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.