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Finding the Fourth Proportional to 10,042.65, 13,857.08 and 5,735.88

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Solution

The fourth proportional to 10,042.65, 13,857.08 and 5,735.88 is: 7,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.65 : 13,857.08 = 5,735.88 : x
  2. Step 2: Convert to fraction form
    10,042.65/13,857.08 = 5,735.88/x
  3. Step 3: Cross multiply
    10,042.65x = 13,857.08 × 5,735.88
  4. Step 4: Simplify right side
    10,042.65x = 79,482,519.35
  5. Step 5: Solve for x
    x = 79,482,519.35/10,042.65
  6. Step 6: Final answer
    x = 7,914.50

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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.