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Finding the Fourth Proportional to 7,124.46, 10,689.12 and 3,837.89

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Solution

The fourth proportional to 7,124.46, 10,689.12 and 3,837.89 is: 5,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.46 : 10,689.12 = 3,837.89 : x
  2. Step 2: Convert to fraction form
    7,124.46/10,689.12 = 3,837.89/x
  3. Step 3: Cross multiply
    7,124.46x = 10,689.12 × 3,837.89
  4. Step 4: Simplify right side
    7,124.46x = 41,023,666.76
  5. Step 5: Solve for x
    x = 41,023,666.76/7,124.46
  6. Step 6: Final answer
    x = 5,758.14

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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.