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Finding the Fourth Proportional to 12,182.84, 16,812.32 and 6,878.00

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Solution

The fourth proportional to 12,182.84, 16,812.32 and 6,878.00 is: 9,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.84 : 16,812.32 = 6,878.00 : x
  2. Step 2: Convert to fraction form
    12,182.84/16,812.32 = 6,878.00/x
  3. Step 3: Cross multiply
    12,182.84x = 16,812.32 × 6,878.00
  4. Step 4: Simplify right side
    12,182.84x = 115,635,050.03
  5. Step 5: Solve for x
    x = 115,635,050.03/12,182.84
  6. Step 6: Final answer
    x = 9,491.63

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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.