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Finding the Fourth Proportional to 11,009.60, 16,514.40 and 6,076.70

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Solution

The fourth proportional to 11,009.60, 16,514.40 and 6,076.70 is: 9,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.60 : 16,514.40 = 6,076.70 : x
  2. Step 2: Convert to fraction form
    11,009.60/16,514.40 = 6,076.70/x
  3. Step 3: Cross multiply
    11,009.60x = 16,514.40 × 6,076.70
  4. Step 4: Simplify right side
    11,009.60x = 100,353,054.48
  5. Step 5: Solve for x
    x = 100,353,054.48/11,009.60
  6. Step 6: Final answer
    x = 9,115.05

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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.