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Finding the Fourth Proportional to 7,592.38, 10,478.44 and 4,608.04

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Solution

The fourth proportional to 7,592.38, 10,478.44 and 4,608.04 is: 6,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.38 : 10,478.44 = 4,608.04 : x
  2. Step 2: Convert to fraction form
    7,592.38/10,478.44 = 4,608.04/x
  3. Step 3: Cross multiply
    7,592.38x = 10,478.44 × 4,608.04
  4. Step 4: Simplify right side
    7,592.38x = 48,285,070.66
  5. Step 5: Solve for x
    x = 48,285,070.66/7,592.38
  6. Step 6: Final answer
    x = 6,359.68

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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.