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Finding the Fourth Proportional to 7,321.68, 10,992 and 6,288.36

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Solution

The fourth proportional to 7,321.68, 10,992 and 6,288.36 is: 9,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.68 : 10,992 = 6,288.36 : x
  2. Step 2: Convert to fraction form
    7,321.68/10,992 = 6,288.36/x
  3. Step 3: Cross multiply
    7,321.68x = 10,992 × 6,288.36
  4. Step 4: Simplify right side
    7,321.68x = 69,121,653.12
  5. Step 5: Solve for x
    x = 69,121,653.12/7,321.68
  6. Step 6: Final answer
    x = 9,440.68

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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.