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Finding the Fourth Proportional to 10,509.67, 15,763.02 and 3,112.21

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Solution

The fourth proportional to 10,509.67, 15,763.02 and 3,112.21 is: 4,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.67 : 15,763.02 = 3,112.21 : x
  2. Step 2: Convert to fraction form
    10,509.67/15,763.02 = 3,112.21/x
  3. Step 3: Cross multiply
    10,509.67x = 15,763.02 × 3,112.21
  4. Step 4: Simplify right side
    10,509.67x = 49,057,828.47
  5. Step 5: Solve for x
    x = 49,057,828.47/10,509.67
  6. Step 6: Final answer
    x = 4,667.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.