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Finding the Fourth Proportional to 8,235.68, 11,366.80 and 5,093.28

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Solution

The fourth proportional to 8,235.68, 11,366.80 and 5,093.28 is: 7,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.68 : 11,366.80 = 5,093.28 : x
  2. Step 2: Convert to fraction form
    8,235.68/11,366.80 = 5,093.28/x
  3. Step 3: Cross multiply
    8,235.68x = 11,366.80 × 5,093.28
  4. Step 4: Simplify right side
    8,235.68x = 57,894,295.10
  5. Step 5: Solve for x
    x = 57,894,295.10/8,235.68
  6. Step 6: Final answer
    x = 7,029.69

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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.