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Finding the Fourth Proportional to 10,379.60, 15,568.96 and 4,831.03

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Solution

The fourth proportional to 10,379.60, 15,568.96 and 4,831.03 is: 7,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.60 : 15,568.96 = 4,831.03 : x
  2. Step 2: Convert to fraction form
    10,379.60/15,568.96 = 4,831.03/x
  3. Step 3: Cross multiply
    10,379.60x = 15,568.96 × 4,831.03
  4. Step 4: Simplify right side
    10,379.60x = 75,214,112.83
  5. Step 5: Solve for x
    x = 75,214,112.83/10,379.60
  6. Step 6: Final answer
    x = 7,246.34

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Why These Related Problems?

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