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Finding the Fourth Proportional to 10,665.75, 16,005.92 and 3,740.25

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Solution

The fourth proportional to 10,665.75, 16,005.92 and 3,740.25 is: 5,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.75 : 16,005.92 = 3,740.25 : x
  2. Step 2: Convert to fraction form
    10,665.75/16,005.92 = 3,740.25/x
  3. Step 3: Cross multiply
    10,665.75x = 16,005.92 × 3,740.25
  4. Step 4: Simplify right side
    10,665.75x = 59,866,123.58
  5. Step 5: Solve for x
    x = 59,866,123.58/10,665.75
  6. Step 6: Final answer
    x = 5,612.93

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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.