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Finding the Fourth Proportional to 4,676.10, 7,011.71 and 4,143.18

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Solution

The fourth proportional to 4,676.10, 7,011.71 and 4,143.18 is: 6,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.10 : 7,011.71 = 4,143.18 : x
  2. Step 2: Convert to fraction form
    4,676.10/7,011.71 = 4,143.18/x
  3. Step 3: Cross multiply
    4,676.10x = 7,011.71 × 4,143.18
  4. Step 4: Simplify right side
    4,676.10x = 29,050,761.90
  5. Step 5: Solve for x
    x = 29,050,761.90/4,676.10
  6. Step 6: Final answer
    x = 6,212.60

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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.