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Finding the Fourth Proportional to 11,221.67, 15,485.94 and 6,117.16

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Solution

The fourth proportional to 11,221.67, 15,485.94 and 6,117.16 is: 8,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.67 : 15,485.94 = 6,117.16 : x
  2. Step 2: Convert to fraction form
    11,221.67/15,485.94 = 6,117.16/x
  3. Step 3: Cross multiply
    11,221.67x = 15,485.94 × 6,117.16
  4. Step 4: Simplify right side
    11,221.67x = 94,729,904.98
  5. Step 5: Solve for x
    x = 94,729,904.98/11,221.67
  6. Step 6: Final answer
    x = 8,441.70

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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.