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Finding the Fourth Proportional to 7,478.46, 10,320.44 and 4,121.42

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Solution

The fourth proportional to 7,478.46, 10,320.44 and 4,121.42 is: 5,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.46 : 10,320.44 = 4,121.42 : x
  2. Step 2: Convert to fraction form
    7,478.46/10,320.44 = 4,121.42/x
  3. Step 3: Cross multiply
    7,478.46x = 10,320.44 × 4,121.42
  4. Step 4: Simplify right side
    7,478.46x = 42,534,795.62
  5. Step 5: Solve for x
    x = 42,534,795.62/7,478.46
  6. Step 6: Final answer
    x = 5,687.64

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