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Finding the Fourth Proportional to 8,223.77, 11,348.66 and 5,036.57

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Solution

The fourth proportional to 8,223.77, 11,348.66 and 5,036.57 is: 6,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.77 : 11,348.66 = 5,036.57 : x
  2. Step 2: Convert to fraction form
    8,223.77/11,348.66 = 5,036.57/x
  3. Step 3: Cross multiply
    8,223.77x = 11,348.66 × 5,036.57
  4. Step 4: Simplify right side
    8,223.77x = 57,158,248.01
  5. Step 5: Solve for x
    x = 57,158,248.01/8,223.77
  6. Step 6: Final answer
    x = 6,950.37

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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.