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Finding the Fourth Proportional to 7,478.65, 10,321.12 and 4,122.07

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Solution

The fourth proportional to 7,478.65, 10,321.12 and 4,122.07 is: 5,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.65 : 10,321.12 = 4,122.07 : x
  2. Step 2: Convert to fraction form
    7,478.65/10,321.12 = 4,122.07/x
  3. Step 3: Cross multiply
    7,478.65x = 10,321.12 × 4,122.07
  4. Step 4: Simplify right side
    7,478.65x = 42,544,379.12
  5. Step 5: Solve for x
    x = 42,544,379.12/7,478.65
  6. Step 6: Final answer
    x = 5,688.78

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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.