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Finding the Fourth Proportional to 8,478.14, 11,704.24 and 6,585.49

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Solution

The fourth proportional to 8,478.14, 11,704.24 and 6,585.49 is: 9,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.14 : 11,704.24 = 6,585.49 : x
  2. Step 2: Convert to fraction form
    8,478.14/11,704.24 = 6,585.49/x
  3. Step 3: Cross multiply
    8,478.14x = 11,704.24 × 6,585.49
  4. Step 4: Simplify right side
    8,478.14x = 77,078,155.48
  5. Step 5: Solve for x
    x = 77,078,155.48/8,478.14
  6. Step 6: Final answer
    x = 9,091.40

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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.