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Finding the Fourth Proportional to 8,004.76, 11,046.72 and 4,647.85

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Solution

The fourth proportional to 8,004.76, 11,046.72 and 4,647.85 is: 6,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.76 : 11,046.72 = 4,647.85 : x
  2. Step 2: Convert to fraction form
    8,004.76/11,046.72 = 4,647.85/x
  3. Step 3: Cross multiply
    8,004.76x = 11,046.72 × 4,647.85
  4. Step 4: Simplify right side
    8,004.76x = 51,343,497.55
  5. Step 5: Solve for x
    x = 51,343,497.55/8,004.76
  6. Step 6: Final answer
    x = 6,414.12

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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.