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Finding the Fourth Proportional to 11,669.46, 16,106.46 and 7,419.70

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Solution

The fourth proportional to 11,669.46, 16,106.46 and 7,419.70 is: 10,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.46 : 16,106.46 = 7,419.70 : x
  2. Step 2: Convert to fraction form
    11,669.46/16,106.46 = 7,419.70/x
  3. Step 3: Cross multiply
    11,669.46x = 16,106.46 × 7,419.70
  4. Step 4: Simplify right side
    11,669.46x = 119,505,101.26
  5. Step 5: Solve for x
    x = 119,505,101.26/11,669.46
  6. Step 6: Final answer
    x = 10,240.84

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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.