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Finding the Fourth Proportional to 8,566.89, 12,850.35 and 5,749.32

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Solution

The fourth proportional to 8,566.89, 12,850.35 and 5,749.32 is: 8,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.89 : 12,850.35 = 5,749.32 : x
  2. Step 2: Convert to fraction form
    8,566.89/12,850.35 = 5,749.32/x
  3. Step 3: Cross multiply
    8,566.89x = 12,850.35 × 5,749.32
  4. Step 4: Simplify right side
    8,566.89x = 73,880,774.26
  5. Step 5: Solve for x
    x = 73,880,774.26/8,566.89
  6. Step 6: Final answer
    x = 8,623.99

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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.