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Finding the Fourth Proportional to 10,603.85, 14,626.60 and 6,831.96

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Solution

The fourth proportional to 10,603.85, 14,626.60 and 6,831.96 is: 9,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.85 : 14,626.60 = 6,831.96 : x
  2. Step 2: Convert to fraction form
    10,603.85/14,626.60 = 6,831.96/x
  3. Step 3: Cross multiply
    10,603.85x = 14,626.60 × 6,831.96
  4. Step 4: Simplify right side
    10,603.85x = 99,928,346.14
  5. Step 5: Solve for x
    x = 99,928,346.14/10,603.85
  6. Step 6: Final answer
    x = 9,423.78

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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.