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Finding the Fourth Proportional to 8,454.18, 11,666.97 and 4,677.60

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Solution

The fourth proportional to 8,454.18, 11,666.97 and 4,677.60 is: 6,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.18 : 11,666.97 = 4,677.60 : x
  2. Step 2: Convert to fraction form
    8,454.18/11,666.97 = 4,677.60/x
  3. Step 3: Cross multiply
    8,454.18x = 11,666.97 × 4,677.60
  4. Step 4: Simplify right side
    8,454.18x = 54,573,418.87
  5. Step 5: Solve for x
    x = 54,573,418.87/8,454.18
  6. Step 6: Final answer
    x = 6,455.20

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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.