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Finding the Fourth Proportional to 11,831.40, 16,327.31 and 6,526.22

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Solution

The fourth proportional to 11,831.40, 16,327.31 and 6,526.22 is: 9,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.40 : 16,327.31 = 6,526.22 : x
  2. Step 2: Convert to fraction form
    11,831.40/16,327.31 = 6,526.22/x
  3. Step 3: Cross multiply
    11,831.40x = 16,327.31 × 6,526.22
  4. Step 4: Simplify right side
    11,831.40x = 106,555,502.80
  5. Step 5: Solve for x
    x = 106,555,502.80/11,831.40
  6. Step 6: Final answer
    x = 9,006.16

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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.