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Finding the Fourth Proportional to 10,007.82, 15,007.46 and 3,434.67

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Solution

The fourth proportional to 10,007.82, 15,007.46 and 3,434.67 is: 5,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.82 : 15,007.46 = 3,434.67 : x
  2. Step 2: Convert to fraction form
    10,007.82/15,007.46 = 3,434.67/x
  3. Step 3: Cross multiply
    10,007.82x = 15,007.46 × 3,434.67
  4. Step 4: Simplify right side
    10,007.82x = 51,545,655.46
  5. Step 5: Solve for x
    x = 51,545,655.46/10,007.82
  6. Step 6: Final answer
    x = 5,150.54

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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.