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Finding the Fourth Proportional to 7,851.89, 11,752.20 and 5,771.35

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Solution

The fourth proportional to 7,851.89, 11,752.20 and 5,771.35 is: 8,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.89 : 11,752.20 = 5,771.35 : x
  2. Step 2: Convert to fraction form
    7,851.89/11,752.20 = 5,771.35/x
  3. Step 3: Cross multiply
    7,851.89x = 11,752.20 × 5,771.35
  4. Step 4: Simplify right side
    7,851.89x = 67,826,059.47
  5. Step 5: Solve for x
    x = 67,826,059.47/7,851.89
  6. Step 6: Final answer
    x = 8,638.18

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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.