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Finding the Fourth Proportional to 11,789.66, 16,267.56 and 7,011.20

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Solution

The fourth proportional to 11,789.66, 16,267.56 and 7,011.20 is: 9,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.66 : 16,267.56 = 7,011.20 : x
  2. Step 2: Convert to fraction form
    11,789.66/16,267.56 = 7,011.20/x
  3. Step 3: Cross multiply
    11,789.66x = 16,267.56 × 7,011.20
  4. Step 4: Simplify right side
    11,789.66x = 114,055,116.67
  5. Step 5: Solve for x
    x = 114,055,116.67/11,789.66
  6. Step 6: Final answer
    x = 9,674.17

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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.