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Finding the Fourth Proportional to 10,799.72, 14,903.38 and 6,083.92

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Solution

The fourth proportional to 10,799.72, 14,903.38 and 6,083.92 is: 8,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.72 : 14,903.38 = 6,083.92 : x
  2. Step 2: Convert to fraction form
    10,799.72/14,903.38 = 6,083.92/x
  3. Step 3: Cross multiply
    10,799.72x = 14,903.38 × 6,083.92
  4. Step 4: Simplify right side
    10,799.72x = 90,670,971.65
  5. Step 5: Solve for x
    x = 90,670,971.65/10,799.72
  6. Step 6: Final answer
    x = 8,395.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.