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Finding the Fourth Proportional to 8,385.66, 12,566.14 and 3,701.36

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Solution

The fourth proportional to 8,385.66, 12,566.14 and 3,701.36 is: 5,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.66 : 12,566.14 = 3,701.36 : x
  2. Step 2: Convert to fraction form
    8,385.66/12,566.14 = 3,701.36/x
  3. Step 3: Cross multiply
    8,385.66x = 12,566.14 × 3,701.36
  4. Step 4: Simplify right side
    8,385.66x = 46,511,830.11
  5. Step 5: Solve for x
    x = 46,511,830.11/8,385.66
  6. Step 6: Final answer
    x = 5,546.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.