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Finding the Fourth Proportional to 11,470.50, 15,831.90 and 6,756.30

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Solution

The fourth proportional to 11,470.50, 15,831.90 and 6,756.30 is: 9,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.50 : 15,831.90 = 6,756.30 : x
  2. Step 2: Convert to fraction form
    11,470.50/15,831.90 = 6,756.30/x
  3. Step 3: Cross multiply
    11,470.50x = 15,831.90 × 6,756.30
  4. Step 4: Simplify right side
    11,470.50x = 106,965,065.97
  5. Step 5: Solve for x
    x = 106,965,065.97/11,470.50
  6. Step 6: Final answer
    x = 9,325.23

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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.