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Finding the Fourth Proportional to 11,309.82, 15,607.54 and 6,274.80

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Solution

The fourth proportional to 11,309.82, 15,607.54 and 6,274.80 is: 8,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.82 : 15,607.54 = 6,274.80 : x
  2. Step 2: Convert to fraction form
    11,309.82/15,607.54 = 6,274.80/x
  3. Step 3: Cross multiply
    11,309.82x = 15,607.54 × 6,274.80
  4. Step 4: Simplify right side
    11,309.82x = 97,934,160.62
  5. Step 5: Solve for x
    x = 97,934,160.62/11,309.82
  6. Step 6: Final answer
    x = 8,659.21

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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.