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Finding the Fourth Proportional to 11,914.13, 16,430.73 and 7,438.29

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Solution

The fourth proportional to 11,914.13, 16,430.73 and 7,438.29 is: 10,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.13 : 16,430.73 = 7,438.29 : x
  2. Step 2: Convert to fraction form
    11,914.13/16,430.73 = 7,438.29/x
  3. Step 3: Cross multiply
    11,914.13x = 16,430.73 × 7,438.29
  4. Step 4: Simplify right side
    11,914.13x = 122,216,534.65
  5. Step 5: Solve for x
    x = 122,216,534.65/11,914.13
  6. Step 6: Final answer
    x = 10,258.12

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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.