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Finding the Fourth Proportional to 11,179.74, 15,434.81 and 7,406.15

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Solution

The fourth proportional to 11,179.74, 15,434.81 and 7,406.15 is: 10,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.74 : 15,434.81 = 7,406.15 : x
  2. Step 2: Convert to fraction form
    11,179.74/15,434.81 = 7,406.15/x
  3. Step 3: Cross multiply
    11,179.74x = 15,434.81 × 7,406.15
  4. Step 4: Simplify right side
    11,179.74x = 114,312,403.88
  5. Step 5: Solve for x
    x = 114,312,403.88/11,179.74
  6. Step 6: Final answer
    x = 10,224.96

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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.