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Finding the Fourth Proportional to 11,870.86, 16,381.26 and 6,831.64

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Solution

The fourth proportional to 11,870.86, 16,381.26 and 6,831.64 is: 9,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.86 : 16,381.26 = 6,831.64 : x
  2. Step 2: Convert to fraction form
    11,870.86/16,381.26 = 6,831.64/x
  3. Step 3: Cross multiply
    11,870.86x = 16,381.26 × 6,831.64
  4. Step 4: Simplify right side
    11,870.86x = 111,910,871.07
  5. Step 5: Solve for x
    x = 111,910,871.07/11,870.86
  6. Step 6: Final answer
    x = 9,427.36

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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.