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Finding the Fourth Proportional to 12,182.32, 16,812.64 and 6,878.40

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Solution

The fourth proportional to 12,182.32, 16,812.64 and 6,878.40 is: 9,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.32 : 16,812.64 = 6,878.40 : x
  2. Step 2: Convert to fraction form
    12,182.32/16,812.64 = 6,878.40/x
  3. Step 3: Cross multiply
    12,182.32x = 16,812.64 × 6,878.40
  4. Step 4: Simplify right side
    12,182.32x = 115,644,062.98
  5. Step 5: Solve for x
    x = 115,644,062.98/12,182.32
  6. Step 6: Final answer
    x = 9,492.78

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