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Finding the Fourth Proportional to 11,904.68, 16,425.42 and 7,430.60

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Solution

The fourth proportional to 11,904.68, 16,425.42 and 7,430.60 is: 10,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.68 : 16,425.42 = 7,430.60 : x
  2. Step 2: Convert to fraction form
    11,904.68/16,425.42 = 7,430.60/x
  3. Step 3: Cross multiply
    11,904.68x = 16,425.42 × 7,430.60
  4. Step 4: Simplify right side
    11,904.68x = 122,050,725.85
  5. Step 5: Solve for x
    x = 122,050,725.85/11,904.68
  6. Step 6: Final answer
    x = 10,252.33

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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.