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Finding the Fourth Proportional to 11,840.16, 16,328.88 and 8,249.16

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Solution

The fourth proportional to 11,840.16, 16,328.88 and 8,249.16 is: 11,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.16 : 16,328.88 = 8,249.16 : x
  2. Step 2: Convert to fraction form
    11,840.16/16,328.88 = 8,249.16/x
  3. Step 3: Cross multiply
    11,840.16x = 16,328.88 × 8,249.16
  4. Step 4: Simplify right side
    11,840.16x = 134,699,543.74
  5. Step 5: Solve for x
    x = 134,699,543.74/11,840.16
  6. Step 6: Final answer
    x = 11,376.50

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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.