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Finding the Fourth Proportional to 10,813.54, 14,922.36 and 6,033.61

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Solution

The fourth proportional to 10,813.54, 14,922.36 and 6,033.61 is: 8,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.54 : 14,922.36 = 6,033.61 : x
  2. Step 2: Convert to fraction form
    10,813.54/14,922.36 = 6,033.61/x
  3. Step 3: Cross multiply
    10,813.54x = 14,922.36 × 6,033.61
  4. Step 4: Simplify right side
    10,813.54x = 90,035,700.52
  5. Step 5: Solve for x
    x = 90,035,700.52/10,813.54
  6. Step 6: Final answer
    x = 8,326.20

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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.