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Finding the Fourth Proportional to 11,783.40, 17,703.90 and 8,867.40

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Solution

The fourth proportional to 11,783.40, 17,703.90 and 8,867.40 is: 13,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.40 : 17,703.90 = 8,867.40 : x
  2. Step 2: Convert to fraction form
    11,783.40/17,703.90 = 8,867.40/x
  3. Step 3: Cross multiply
    11,783.40x = 17,703.90 × 8,867.40
  4. Step 4: Simplify right side
    11,783.40x = 156,987,562.86
  5. Step 5: Solve for x
    x = 156,987,562.86/11,783.40
  6. Step 6: Final answer
    x = 13,322.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.