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Finding the Fourth Proportional to 12,084.40, 16,675.32 and 6,778

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Solution

The fourth proportional to 12,084.40, 16,675.32 and 6,778 is: 9,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.40 : 16,675.32 = 6,778 : x
  2. Step 2: Convert to fraction form
    12,084.40/16,675.32 = 6,778/x
  3. Step 3: Cross multiply
    12,084.40x = 16,675.32 × 6,778
  4. Step 4: Simplify right side
    12,084.40x = 113,025,318.96
  5. Step 5: Solve for x
    x = 113,025,318.96/12,084.40
  6. Step 6: Final answer
    x = 9,352.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.