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Finding the Fourth Proportional to 10,509.46, 15,764.19 and 9,983.90

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Solution

The fourth proportional to 10,509.46, 15,764.19 and 9,983.90 is: 14,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.46 : 15,764.19 = 9,983.90 : x
  2. Step 2: Convert to fraction form
    10,509.46/15,764.19 = 9,983.90/x
  3. Step 3: Cross multiply
    10,509.46x = 15,764.19 × 9,983.90
  4. Step 4: Simplify right side
    10,509.46x = 157,388,096.54
  5. Step 5: Solve for x
    x = 157,388,096.54/10,509.46
  6. Step 6: Final answer
    x = 14,975.86

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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.