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Finding the Fourth Proportional to 7,714.37, 10,645.63 and 4,357.19

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Solution

The fourth proportional to 7,714.37, 10,645.63 and 4,357.19 is: 6,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.37 : 10,645.63 = 4,357.19 : x
  2. Step 2: Convert to fraction form
    7,714.37/10,645.63 = 4,357.19/x
  3. Step 3: Cross multiply
    7,714.37x = 10,645.63 × 4,357.19
  4. Step 4: Simplify right side
    7,714.37x = 46,385,048.30
  5. Step 5: Solve for x
    x = 46,385,048.30/7,714.37
  6. Step 6: Final answer
    x = 6,012.81

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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.