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Finding the Fourth Proportional to 7,533.92, 10,393.08 and 4,737.44

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Solution

The fourth proportional to 7,533.92, 10,393.08 and 4,737.44 is: 6,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.92 : 10,393.08 = 4,737.44 : x
  2. Step 2: Convert to fraction form
    7,533.92/10,393.08 = 4,737.44/x
  3. Step 3: Cross multiply
    7,533.92x = 10,393.08 × 4,737.44
  4. Step 4: Simplify right side
    7,533.92x = 49,236,592.92
  5. Step 5: Solve for x
    x = 49,236,592.92/7,533.92
  6. Step 6: Final answer
    x = 6,535.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.