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Finding the Fourth Proportional to 8,176.85, 11,285.07 and 4,641.20

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Solution

The fourth proportional to 8,176.85, 11,285.07 and 4,641.20 is: 6,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.85 : 11,285.07 = 4,641.20 : x
  2. Step 2: Convert to fraction form
    8,176.85/11,285.07 = 4,641.20/x
  3. Step 3: Cross multiply
    8,176.85x = 11,285.07 × 4,641.20
  4. Step 4: Simplify right side
    8,176.85x = 52,376,261.48
  5. Step 5: Solve for x
    x = 52,376,261.48/8,176.85
  6. Step 6: Final answer
    x = 6,405.43

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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.