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Finding the Fourth Proportional to 11,899.30, 16,415.52 and 8,364.55

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Solution

The fourth proportional to 11,899.30, 16,415.52 and 8,364.55 is: 11,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.30 : 16,415.52 = 8,364.55 : x
  2. Step 2: Convert to fraction form
    11,899.30/16,415.52 = 8,364.55/x
  3. Step 3: Cross multiply
    11,899.30x = 16,415.52 × 8,364.55
  4. Step 4: Simplify right side
    11,899.30x = 137,308,437.82
  5. Step 5: Solve for x
    x = 137,308,437.82/11,899.30
  6. Step 6: Final answer
    x = 11,539.20

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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.