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Finding the Fourth Proportional to 6,699.60, 10,046.82 and 3,186.90

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Solution

The fourth proportional to 6,699.60, 10,046.82 and 3,186.90 is: 4,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.60 : 10,046.82 = 3,186.90 : x
  2. Step 2: Convert to fraction form
    6,699.60/10,046.82 = 3,186.90/x
  3. Step 3: Cross multiply
    6,699.60x = 10,046.82 × 3,186.90
  4. Step 4: Simplify right side
    6,699.60x = 32,018,222.61
  5. Step 5: Solve for x
    x = 32,018,222.61/6,699.60
  6. Step 6: Final answer
    x = 4,779.12

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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.