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Finding the Fourth Proportional to 11,179.68, 15,434.72 and 7,406.06

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Solution

The fourth proportional to 11,179.68, 15,434.72 and 7,406.06 is: 10,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.68 : 15,434.72 = 7,406.06 : x
  2. Step 2: Convert to fraction form
    11,179.68/15,434.72 = 7,406.06/x
  3. Step 3: Cross multiply
    11,179.68x = 15,434.72 × 7,406.06
  4. Step 4: Simplify right side
    11,179.68x = 114,310,462.40
  5. Step 5: Solve for x
    x = 114,310,462.40/11,179.68
  6. Step 6: Final answer
    x = 10,224.84

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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.