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Finding the Fourth Proportional to 8,384.59, 12,580.53 and 5,791.78

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Solution

The fourth proportional to 8,384.59, 12,580.53 and 5,791.78 is: 8,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.59 : 12,580.53 = 5,791.78 : x
  2. Step 2: Convert to fraction form
    8,384.59/12,580.53 = 5,791.78/x
  3. Step 3: Cross multiply
    8,384.59x = 12,580.53 × 5,791.78
  4. Step 4: Simplify right side
    8,384.59x = 72,863,662.04
  5. Step 5: Solve for x
    x = 72,863,662.04/8,384.59
  6. Step 6: Final answer
    x = 8,690.19

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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.