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Finding the Fourth Proportional to 11,869.80, 16,380.44 and 6,564.70

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Solution

The fourth proportional to 11,869.80, 16,380.44 and 6,564.70 is: 9,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.80 : 16,380.44 = 6,564.70 : x
  2. Step 2: Convert to fraction form
    11,869.80/16,380.44 = 6,564.70/x
  3. Step 3: Cross multiply
    11,869.80x = 16,380.44 × 6,564.70
  4. Step 4: Simplify right side
    11,869.80x = 107,532,674.47
  5. Step 5: Solve for x
    x = 107,532,674.47/11,869.80
  6. Step 6: Final answer
    x = 9,059.35

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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.