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Finding the Fourth Proportional to 7,737.30, 11,576.70 and 5,145.30

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Solution

The fourth proportional to 7,737.30, 11,576.70 and 5,145.30 is: 7,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.30 : 11,576.70 = 5,145.30 : x
  2. Step 2: Convert to fraction form
    7,737.30/11,576.70 = 5,145.30/x
  3. Step 3: Cross multiply
    7,737.30x = 11,576.70 × 5,145.30
  4. Step 4: Simplify right side
    7,737.30x = 59,565,594.51
  5. Step 5: Solve for x
    x = 59,565,594.51/7,737.30
  6. Step 6: Final answer
    x = 7,698.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.