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Finding the Fourth Proportional to 6,676.42, 10,014.67 and 4,590.14

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Solution

The fourth proportional to 6,676.42, 10,014.67 and 4,590.14 is: 6,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.42 : 10,014.67 = 4,590.14 : x
  2. Step 2: Convert to fraction form
    6,676.42/10,014.67 = 4,590.14/x
  3. Step 3: Cross multiply
    6,676.42x = 10,014.67 × 4,590.14
  4. Step 4: Simplify right side
    6,676.42x = 45,968,689.94
  5. Step 5: Solve for x
    x = 45,968,689.94/6,676.42
  6. Step 6: Final answer
    x = 6,885.24

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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.