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Finding the Fourth Proportional to 11,977.88, 16,529.47 and 6,674.00

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Solution

The fourth proportional to 11,977.88, 16,529.47 and 6,674.00 is: 9,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.88 : 16,529.47 = 6,674.00 : x
  2. Step 2: Convert to fraction form
    11,977.88/16,529.47 = 6,674.00/x
  3. Step 3: Cross multiply
    11,977.88x = 16,529.47 × 6,674.00
  4. Step 4: Simplify right side
    11,977.88x = 110,317,583.45
  5. Step 5: Solve for x
    x = 110,317,583.45/11,977.88
  6. Step 6: Final answer
    x = 9,210.11

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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.