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Finding the Fourth Proportional to 11,096.60, 16,652.10 and 6,416.60

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Solution

The fourth proportional to 11,096.60, 16,652.10 and 6,416.60 is: 9,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.60 : 16,652.10 = 6,416.60 : x
  2. Step 2: Convert to fraction form
    11,096.60/16,652.10 = 6,416.60/x
  3. Step 3: Cross multiply
    11,096.60x = 16,652.10 × 6,416.60
  4. Step 4: Simplify right side
    11,096.60x = 106,849,864.86
  5. Step 5: Solve for x
    x = 106,849,864.86/11,096.60
  6. Step 6: Final answer
    x = 9,629.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.