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Finding the Fourth Proportional to 10,041.90, 13,857.58 and 5,849.88

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Solution

The fourth proportional to 10,041.90, 13,857.58 and 5,849.88 is: 8,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.90 : 13,857.58 = 5,849.88 : x
  2. Step 2: Convert to fraction form
    10,041.90/13,857.58 = 5,849.88/x
  3. Step 3: Cross multiply
    10,041.90x = 13,857.58 × 5,849.88
  4. Step 4: Simplify right side
    10,041.90x = 81,065,180.09
  5. Step 5: Solve for x
    x = 81,065,180.09/10,041.90
  6. Step 6: Final answer
    x = 8,072.69

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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.