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Finding the Fourth Proportional to 7,416.54, 11,113.73 and 6,869.79

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Solution

The fourth proportional to 7,416.54, 11,113.73 and 6,869.79 is: 10,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.54 : 11,113.73 = 6,869.79 : x
  2. Step 2: Convert to fraction form
    7,416.54/11,113.73 = 6,869.79/x
  3. Step 3: Cross multiply
    7,416.54x = 11,113.73 × 6,869.79
  4. Step 4: Simplify right side
    7,416.54x = 76,348,991.22
  5. Step 5: Solve for x
    x = 76,348,991.22/7,416.54
  6. Step 6: Final answer
    x = 10,294.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.