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Finding the Fourth Proportional to 10,030.57, 13,842.09 and 5,780.07

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Solution

The fourth proportional to 10,030.57, 13,842.09 and 5,780.07 is: 7,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.57 : 13,842.09 = 5,780.07 : x
  2. Step 2: Convert to fraction form
    10,030.57/13,842.09 = 5,780.07/x
  3. Step 3: Cross multiply
    10,030.57x = 13,842.09 × 5,780.07
  4. Step 4: Simplify right side
    10,030.57x = 80,008,175.56
  5. Step 5: Solve for x
    x = 80,008,175.56/10,030.57
  6. Step 6: Final answer
    x = 7,976.44

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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.