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Finding the Fourth Proportional to 11,193.36, 15,447.60 and 7,410

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Solution

The fourth proportional to 11,193.36, 15,447.60 and 7,410 is: 10,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.36 : 15,447.60 = 7,410 : x
  2. Step 2: Convert to fraction form
    11,193.36/15,447.60 = 7,410/x
  3. Step 3: Cross multiply
    11,193.36x = 15,447.60 × 7,410
  4. Step 4: Simplify right side
    11,193.36x = 114,466,716
  5. Step 5: Solve for x
    x = 114,466,716/11,193.36
  6. Step 6: Final answer
    x = 10,226.31

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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.