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Finding the Fourth Proportional to 7,142.34, 10,717.14 and 4,676.70

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Solution

The fourth proportional to 7,142.34, 10,717.14 and 4,676.70 is: 7,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.34 : 10,717.14 = 4,676.70 : x
  2. Step 2: Convert to fraction form
    7,142.34/10,717.14 = 4,676.70/x
  3. Step 3: Cross multiply
    7,142.34x = 10,717.14 × 4,676.70
  4. Step 4: Simplify right side
    7,142.34x = 50,120,848.64
  5. Step 5: Solve for x
    x = 50,120,848.64/7,142.34
  6. Step 6: Final answer
    x = 7,017.43

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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.