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Finding the Fourth Proportional to 11,230.68, 16,838.82 and 4,661.40

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Solution

The fourth proportional to 11,230.68, 16,838.82 and 4,661.40 is: 6,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.68 : 16,838.82 = 4,661.40 : x
  2. Step 2: Convert to fraction form
    11,230.68/16,838.82 = 4,661.40/x
  3. Step 3: Cross multiply
    11,230.68x = 16,838.82 × 4,661.40
  4. Step 4: Simplify right side
    11,230.68x = 78,492,475.55
  5. Step 5: Solve for x
    x = 78,492,475.55/11,230.68
  6. Step 6: Final answer
    x = 6,989.11

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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.