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Finding the Fourth Proportional to 11,852.94, 16,357.11 and 6,475.45

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Solution

The fourth proportional to 11,852.94, 16,357.11 and 6,475.45 is: 8,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.94 : 16,357.11 = 6,475.45 : x
  2. Step 2: Convert to fraction form
    11,852.94/16,357.11 = 6,475.45/x
  3. Step 3: Cross multiply
    11,852.94x = 16,357.11 × 6,475.45
  4. Step 4: Simplify right side
    11,852.94x = 105,919,705.03
  5. Step 5: Solve for x
    x = 105,919,705.03/11,852.94
  6. Step 6: Final answer
    x = 8,936.15

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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.