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Finding the Fourth Proportional to 11,970.86, 16,515.28 and 6,933.23

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Solution

The fourth proportional to 11,970.86, 16,515.28 and 6,933.23 is: 9,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.86 : 16,515.28 = 6,933.23 : x
  2. Step 2: Convert to fraction form
    11,970.86/16,515.28 = 6,933.23/x
  3. Step 3: Cross multiply
    11,970.86x = 16,515.28 × 6,933.23
  4. Step 4: Simplify right side
    11,970.86x = 114,504,258.71
  5. Step 5: Solve for x
    x = 114,504,258.71/11,970.86
  6. Step 6: Final answer
    x = 9,565.25

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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.