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Finding the Fourth Proportional to 11,338.32, 16,985.88 and 8,583.12

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Solution

The fourth proportional to 11,338.32, 16,985.88 and 8,583.12 is: 12,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.32 : 16,985.88 = 8,583.12 : x
  2. Step 2: Convert to fraction form
    11,338.32/16,985.88 = 8,583.12/x
  3. Step 3: Cross multiply
    11,338.32x = 16,985.88 × 8,583.12
  4. Step 4: Simplify right side
    11,338.32x = 145,791,846.35
  5. Step 5: Solve for x
    x = 145,791,846.35/11,338.32
  6. Step 6: Final answer
    x = 12,858.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.