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Finding the Fourth Proportional to 11,230.12, 16,845.54 and 4,303

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Solution

The fourth proportional to 11,230.12, 16,845.54 and 4,303 is: 6,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.12 : 16,845.54 = 4,303 : x
  2. Step 2: Convert to fraction form
    11,230.12/16,845.54 = 4,303/x
  3. Step 3: Cross multiply
    11,230.12x = 16,845.54 × 4,303
  4. Step 4: Simplify right side
    11,230.12x = 72,486,358.62
  5. Step 5: Solve for x
    x = 72,486,358.62/11,230.12
  6. Step 6: Final answer
    x = 6,454.64

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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.