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Finding the Fourth Proportional to 8,311.88, 11,470.33 and 4,534.99

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Solution

The fourth proportional to 8,311.88, 11,470.33 and 4,534.99 is: 6,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.88 : 11,470.33 = 4,534.99 : x
  2. Step 2: Convert to fraction form
    8,311.88/11,470.33 = 4,534.99/x
  3. Step 3: Cross multiply
    8,311.88x = 11,470.33 × 4,534.99
  4. Step 4: Simplify right side
    8,311.88x = 52,017,831.85
  5. Step 5: Solve for x
    x = 52,017,831.85/8,311.88
  6. Step 6: Final answer
    x = 6,258.25

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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.