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Finding the Fourth Proportional to 11,163.60, 15,398.40 and 7,178.40

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Solution

The fourth proportional to 11,163.60, 15,398.40 and 7,178.40 is: 9,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.60 : 15,398.40 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    11,163.60/15,398.40 = 7,178.40/x
  3. Step 3: Cross multiply
    11,163.60x = 15,398.40 × 7,178.40
  4. Step 4: Simplify right side
    11,163.60x = 110,535,874.56
  5. Step 5: Solve for x
    x = 110,535,874.56/11,163.60
  6. Step 6: Final answer
    x = 9,901.45

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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.