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Finding the Fourth Proportional to 11,836.40, 16,333.56 and 7,360.40

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Solution

The fourth proportional to 11,836.40, 16,333.56 and 7,360.40 is: 10,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.40 : 16,333.56 = 7,360.40 : x
  2. Step 2: Convert to fraction form
    11,836.40/16,333.56 = 7,360.40/x
  3. Step 3: Cross multiply
    11,836.40x = 16,333.56 × 7,360.40
  4. Step 4: Simplify right side
    11,836.40x = 120,221,535.02
  5. Step 5: Solve for x
    x = 120,221,535.02/11,836.40
  6. Step 6: Final answer
    x = 10,156.93

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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.