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Finding the Fourth Proportional to 8,329.11, 11,471.94 and 7,210.14

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Solution

The fourth proportional to 8,329.11, 11,471.94 and 7,210.14 is: 9,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.11 : 11,471.94 = 7,210.14 : x
  2. Step 2: Convert to fraction form
    8,329.11/11,471.94 = 7,210.14/x
  3. Step 3: Cross multiply
    8,329.11x = 11,471.94 × 7,210.14
  4. Step 4: Simplify right side
    8,329.11x = 82,714,293.47
  5. Step 5: Solve for x
    x = 82,714,293.47/8,329.11
  6. Step 6: Final answer
    x = 9,930.75

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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.