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Finding the Fourth Proportional to 11,036, 16,543.02 and 5,182.22

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Solution

The fourth proportional to 11,036, 16,543.02 and 5,182.22 is: 7,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036 : 16,543.02 = 5,182.22 : x
  2. Step 2: Convert to fraction form
    11,036/16,543.02 = 5,182.22/x
  3. Step 3: Cross multiply
    11,036x = 16,543.02 × 5,182.22
  4. Step 4: Simplify right side
    11,036x = 85,729,569.10
  5. Step 5: Solve for x
    x = 85,729,569.10/11,036
  6. Step 6: Final answer
    x = 7,768.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.