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Finding the Fourth Proportional to 11,656.50, 17,499.99 and 6,921.30

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Solution

The fourth proportional to 11,656.50, 17,499.99 and 6,921.30 is: 10,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.50 : 17,499.99 = 6,921.30 : x
  2. Step 2: Convert to fraction form
    11,656.50/17,499.99 = 6,921.30/x
  3. Step 3: Cross multiply
    11,656.50x = 17,499.99 × 6,921.30
  4. Step 4: Simplify right side
    11,656.50x = 121,122,680.79
  5. Step 5: Solve for x
    x = 121,122,680.79/11,656.50
  6. Step 6: Final answer
    x = 10,391.00

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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.