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Finding the Fourth Proportional to 8,548.47, 11,797.25 and 4,771.85

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Solution

The fourth proportional to 8,548.47, 11,797.25 and 4,771.85 is: 6,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.47 : 11,797.25 = 4,771.85 : x
  2. Step 2: Convert to fraction form
    8,548.47/11,797.25 = 4,771.85/x
  3. Step 3: Cross multiply
    8,548.47x = 11,797.25 × 4,771.85
  4. Step 4: Simplify right side
    8,548.47x = 56,294,624.57
  5. Step 5: Solve for x
    x = 56,294,624.57/8,548.47
  6. Step 6: Final answer
    x = 6,585.35

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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.