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Finding the Fourth Proportional to 11,194.64, 15,448.96 and 6,159.22

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Solution

The fourth proportional to 11,194.64, 15,448.96 and 6,159.22 is: 8,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.64 : 15,448.96 = 6,159.22 : x
  2. Step 2: Convert to fraction form
    11,194.64/15,448.96 = 6,159.22/x
  3. Step 3: Cross multiply
    11,194.64x = 15,448.96 × 6,159.22
  4. Step 4: Simplify right side
    11,194.64x = 95,153,543.41
  5. Step 5: Solve for x
    x = 95,153,543.41/11,194.64
  6. Step 6: Final answer
    x = 8,499.92

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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.