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Finding the Fourth Proportional to 11,005.64, 15,179.32 and 7,419.28

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Solution

The fourth proportional to 11,005.64, 15,179.32 and 7,419.28 is: 10,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.64 : 15,179.32 = 7,419.28 : x
  2. Step 2: Convert to fraction form
    11,005.64/15,179.32 = 7,419.28/x
  3. Step 3: Cross multiply
    11,005.64x = 15,179.32 × 7,419.28
  4. Step 4: Simplify right side
    11,005.64x = 112,619,625.29
  5. Step 5: Solve for x
    x = 112,619,625.29/11,005.64
  6. Step 6: Final answer
    x = 10,232.90

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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.