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Finding the Fourth Proportional to 11,005.60, 16,512.96 and 6,074.80

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Solution

The fourth proportional to 11,005.60, 16,512.96 and 6,074.80 is: 9,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.60 : 16,512.96 = 6,074.80 : x
  2. Step 2: Convert to fraction form
    11,005.60/16,512.96 = 6,074.80/x
  3. Step 3: Cross multiply
    11,005.60x = 16,512.96 × 6,074.80
  4. Step 4: Simplify right side
    11,005.60x = 100,312,929.41
  5. Step 5: Solve for x
    x = 100,312,929.41/11,005.60
  6. Step 6: Final answer
    x = 9,114.72

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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.