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Finding the Fourth Proportional to 11,310, 16,965.20 and 4,293.28

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Solution

The fourth proportional to 11,310, 16,965.20 and 4,293.28 is: 6,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310 : 16,965.20 = 4,293.28 : x
  2. Step 2: Convert to fraction form
    11,310/16,965.20 = 4,293.28/x
  3. Step 3: Cross multiply
    11,310x = 16,965.20 × 4,293.28
  4. Step 4: Simplify right side
    11,310x = 72,836,353.86
  5. Step 5: Solve for x
    x = 72,836,353.86/11,310
  6. Step 6: Final answer
    x = 6,440.00

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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.