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Finding the Fourth Proportional to 11,141.48, 15,391.94 and 7,322.21

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Solution

The fourth proportional to 11,141.48, 15,391.94 and 7,322.21 is: 10,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.48 : 15,391.94 = 7,322.21 : x
  2. Step 2: Convert to fraction form
    11,141.48/15,391.94 = 7,322.21/x
  3. Step 3: Cross multiply
    11,141.48x = 15,391.94 × 7,322.21
  4. Step 4: Simplify right side
    11,141.48x = 112,702,980.38
  5. Step 5: Solve for x
    x = 112,702,980.38/11,141.48
  6. Step 6: Final answer
    x = 10,115.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.