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Finding the Fourth Proportional to 7,714.53, 11,563.61 and 4,013.06

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Solution

The fourth proportional to 7,714.53, 11,563.61 and 4,013.06 is: 6,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.53 : 11,563.61 = 4,013.06 : x
  2. Step 2: Convert to fraction form
    7,714.53/11,563.61 = 4,013.06/x
  3. Step 3: Cross multiply
    7,714.53x = 11,563.61 × 4,013.06
  4. Step 4: Simplify right side
    7,714.53x = 46,405,382.86
  5. Step 5: Solve for x
    x = 46,405,382.86/7,714.53
  6. Step 6: Final answer
    x = 6,015.32

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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.