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Finding the Fourth Proportional to 8,461.80, 11,678.04 and 4,685.85

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Solution

The fourth proportional to 8,461.80, 11,678.04 and 4,685.85 is: 6,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.80 : 11,678.04 = 4,685.85 : x
  2. Step 2: Convert to fraction form
    8,461.80/11,678.04 = 4,685.85/x
  3. Step 3: Cross multiply
    8,461.80x = 11,678.04 × 4,685.85
  4. Step 4: Simplify right side
    8,461.80x = 54,721,543.73
  5. Step 5: Solve for x
    x = 54,721,543.73/8,461.80
  6. Step 6: Final answer
    x = 6,466.89

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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.