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Finding the Fourth Proportional to 8,193.68, 11,306.76 and 5,402.96

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Solution

The fourth proportional to 8,193.68, 11,306.76 and 5,402.96 is: 7,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.68 : 11,306.76 = 5,402.96 : x
  2. Step 2: Convert to fraction form
    8,193.68/11,306.76 = 5,402.96/x
  3. Step 3: Cross multiply
    8,193.68x = 11,306.76 × 5,402.96
  4. Step 4: Simplify right side
    8,193.68x = 61,089,972.01
  5. Step 5: Solve for x
    x = 61,089,972.01/8,193.68
  6. Step 6: Final answer
    x = 7,455.74

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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.