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Finding the Fourth Proportional to 11,809.10, 17,713.65 and 6,614.30

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Solution

The fourth proportional to 11,809.10, 17,713.65 and 6,614.30 is: 9,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.10 : 17,713.65 = 6,614.30 : x
  2. Step 2: Convert to fraction form
    11,809.10/17,713.65 = 6,614.30/x
  3. Step 3: Cross multiply
    11,809.10x = 17,713.65 × 6,614.30
  4. Step 4: Simplify right side
    11,809.10x = 117,163,395.20
  5. Step 5: Solve for x
    x = 117,163,395.20/11,809.10
  6. Step 6: Final answer
    x = 9,921.45

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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.