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Finding the Fourth Proportional to 7,114.29, 10,677.69 and 3,829.74

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Solution

The fourth proportional to 7,114.29, 10,677.69 and 3,829.74 is: 5,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.29 : 10,677.69 = 3,829.74 : x
  2. Step 2: Convert to fraction form
    7,114.29/10,677.69 = 3,829.74/x
  3. Step 3: Cross multiply
    7,114.29x = 10,677.69 × 3,829.74
  4. Step 4: Simplify right side
    7,114.29x = 40,892,776.50
  5. Step 5: Solve for x
    x = 40,892,776.50/7,114.29
  6. Step 6: Final answer
    x = 5,747.98

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Why These Related Problems?

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