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Finding the Fourth Proportional to 7,714.53, 10,645.29 and 4,310.91

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Solution

The fourth proportional to 7,714.53, 10,645.29 and 4,310.91 is: 5,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.53 : 10,645.29 = 4,310.91 : x
  2. Step 2: Convert to fraction form
    7,714.53/10,645.29 = 4,310.91/x
  3. Step 3: Cross multiply
    7,714.53x = 10,645.29 × 4,310.91
  4. Step 4: Simplify right side
    7,714.53x = 45,890,887.11
  5. Step 5: Solve for x
    x = 45,890,887.11/7,714.53
  6. Step 6: Final answer
    x = 5,948.63

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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.