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Finding the Fourth Proportional to 8,585.36, 12,845.64 and 5,667.20

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Solution

The fourth proportional to 8,585.36, 12,845.64 and 5,667.20 is: 8,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.36 : 12,845.64 = 5,667.20 : x
  2. Step 2: Convert to fraction form
    8,585.36/12,845.64 = 5,667.20/x
  3. Step 3: Cross multiply
    8,585.36x = 12,845.64 × 5,667.20
  4. Step 4: Simplify right side
    8,585.36x = 72,798,811.01
  5. Step 5: Solve for x
    x = 72,798,811.01/8,585.36
  6. Step 6: Final answer
    x = 8,479.41

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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.