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Finding the Fourth Proportional to 10,005.92, 15,005.76 and 3,766.80

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Solution

The fourth proportional to 10,005.92, 15,005.76 and 3,766.80 is: 5,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.92 : 15,005.76 = 3,766.80 : x
  2. Step 2: Convert to fraction form
    10,005.92/15,005.76 = 3,766.80/x
  3. Step 3: Cross multiply
    10,005.92x = 15,005.76 × 3,766.80
  4. Step 4: Simplify right side
    10,005.92x = 56,523,696.77
  5. Step 5: Solve for x
    x = 56,523,696.77/10,005.92
  6. Step 6: Final answer
    x = 5,649.03

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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.