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Finding the Fourth Proportional to 7,124.96, 10,689.87 and 3,838.39

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Solution

The fourth proportional to 7,124.96, 10,689.87 and 3,838.39 is: 5,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.96 : 10,689.87 = 3,838.39 : x
  2. Step 2: Convert to fraction form
    7,124.96/10,689.87 = 3,838.39/x
  3. Step 3: Cross multiply
    7,124.96x = 10,689.87 × 3,838.39
  4. Step 4: Simplify right side
    7,124.96x = 41,031,890.11
  5. Step 5: Solve for x
    x = 41,031,890.11/7,124.96
  6. Step 6: Final answer
    x = 5,758.89

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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.