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Finding the Fourth Proportional to 7,717.64, 11,576.46 and 5,419.40

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Solution

The fourth proportional to 7,717.64, 11,576.46 and 5,419.40 is: 8,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.64 : 11,576.46 = 5,419.40 : x
  2. Step 2: Convert to fraction form
    7,717.64/11,576.46 = 5,419.40/x
  3. Step 3: Cross multiply
    7,717.64x = 11,576.46 × 5,419.40
  4. Step 4: Simplify right side
    7,717.64x = 62,737,467.32
  5. Step 5: Solve for x
    x = 62,737,467.32/7,717.64
  6. Step 6: Final answer
    x = 8,129.10

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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.