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Finding the Fourth Proportional to 11,105.76, 15,329.16 and 7,331.70

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Solution

The fourth proportional to 11,105.76, 15,329.16 and 7,331.70 is: 10,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.76 : 15,329.16 = 7,331.70 : x
  2. Step 2: Convert to fraction form
    11,105.76/15,329.16 = 7,331.70/x
  3. Step 3: Cross multiply
    11,105.76x = 15,329.16 × 7,331.70
  4. Step 4: Simplify right side
    11,105.76x = 112,388,802.37
  5. Step 5: Solve for x
    x = 112,388,802.37/11,105.76
  6. Step 6: Final answer
    x = 10,119.87

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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.