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Finding the Fourth Proportional to 7,714.08, 10,644.48 and 4,570.56

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Solution

The fourth proportional to 7,714.08, 10,644.48 and 4,570.56 is: 6,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.08 : 10,644.48 = 4,570.56 : x
  2. Step 2: Convert to fraction form
    7,714.08/10,644.48 = 4,570.56/x
  3. Step 3: Cross multiply
    7,714.08x = 10,644.48 × 4,570.56
  4. Step 4: Simplify right side
    7,714.08x = 48,651,234.51
  5. Step 5: Solve for x
    x = 48,651,234.51/7,714.08
  6. Step 6: Final answer
    x = 6,306.81

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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.