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Finding the Fourth Proportional to 10,556.88, 14,568.83 and 5,842.07

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Solution

The fourth proportional to 10,556.88, 14,568.83 and 5,842.07 is: 8,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.88 : 14,568.83 = 5,842.07 : x
  2. Step 2: Convert to fraction form
    10,556.88/14,568.83 = 5,842.07/x
  3. Step 3: Cross multiply
    10,556.88x = 14,568.83 × 5,842.07
  4. Step 4: Simplify right side
    10,556.88x = 85,112,124.68
  5. Step 5: Solve for x
    x = 85,112,124.68/10,556.88
  6. Step 6: Final answer
    x = 8,062.24

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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.