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Finding the Fourth Proportional to 7,329.58, 10,976.14 and 5,128

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Solution

The fourth proportional to 7,329.58, 10,976.14 and 5,128 is: 7,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.58 : 10,976.14 = 5,128 : x
  2. Step 2: Convert to fraction form
    7,329.58/10,976.14 = 5,128/x
  3. Step 3: Cross multiply
    7,329.58x = 10,976.14 × 5,128
  4. Step 4: Simplify right side
    7,329.58x = 56,285,645.92
  5. Step 5: Solve for x
    x = 56,285,645.92/7,329.58
  6. Step 6: Final answer
    x = 7,679.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.