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Finding the Fourth Proportional to 11,783.98, 17,680.65 and 4,856.86

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Solution

The fourth proportional to 11,783.98, 17,680.65 and 4,856.86 is: 7,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.98 : 17,680.65 = 4,856.86 : x
  2. Step 2: Convert to fraction form
    11,783.98/17,680.65 = 4,856.86/x
  3. Step 3: Cross multiply
    11,783.98x = 17,680.65 × 4,856.86
  4. Step 4: Simplify right side
    11,783.98x = 85,872,441.76
  5. Step 5: Solve for x
    x = 85,872,441.76/11,783.98
  6. Step 6: Final answer
    x = 7,287.22

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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.