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Finding the Fourth Proportional to 7,362.75, 11,045.84 and 3,854.67

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Solution

The fourth proportional to 7,362.75, 11,045.84 and 3,854.67 is: 5,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.75 : 11,045.84 = 3,854.67 : x
  2. Step 2: Convert to fraction form
    7,362.75/11,045.84 = 3,854.67/x
  3. Step 3: Cross multiply
    7,362.75x = 11,045.84 × 3,854.67
  4. Step 4: Simplify right side
    7,362.75x = 42,578,007.38
  5. Step 5: Solve for x
    x = 42,578,007.38/7,362.75
  6. Step 6: Final answer
    x = 5,782.89

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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.