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Finding the Fourth Proportional to 11,859.90, 16,368.30 and 6,824.03

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Solution

The fourth proportional to 11,859.90, 16,368.30 and 6,824.03 is: 9,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.90 : 16,368.30 = 6,824.03 : x
  2. Step 2: Convert to fraction form
    11,859.90/16,368.30 = 6,824.03/x
  3. Step 3: Cross multiply
    11,859.90x = 16,368.30 × 6,824.03
  4. Step 4: Simplify right side
    11,859.90x = 111,697,688.41
  5. Step 5: Solve for x
    x = 111,697,688.41/11,859.90
  6. Step 6: Final answer
    x = 9,418.10

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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.