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Finding the Fourth Proportional to 7,654.74, 11,483.04 and 5,682.81

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Solution

The fourth proportional to 7,654.74, 11,483.04 and 5,682.81 is: 8,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.74 : 11,483.04 = 5,682.81 : x
  2. Step 2: Convert to fraction form
    7,654.74/11,483.04 = 5,682.81/x
  3. Step 3: Cross multiply
    7,654.74x = 11,483.04 × 5,682.81
  4. Step 4: Simplify right side
    7,654.74x = 65,255,934.54
  5. Step 5: Solve for x
    x = 65,255,934.54/7,654.74
  6. Step 6: Final answer
    x = 8,524.91

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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.